<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >title >GAP (orb) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chap5.html" >5</a> <a href="chap6.html" >6</a> <a href="chap7.html" >7</a> <a href="chap8.html" >8</a> <a href="chap9.html" >9</a> <a href="chap10.html" >10</a> <a href="chap11.html" >11</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0_mj.html" >[MathJax on]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >orb</h1 >div >br />Email: <span class="URL" ><a href="mailto:juergen.mueller@math.rwth-aachen.de" >juergen.mueller@math.rwth-aachen.de</a></span >br />Homepage: <span class="URL" ><a href="http://www.math.rwth-aachen.de/~Juergen.Mueller " >http://www.math.rwth-aachen.de/~Juergen.Mueller</a></span >br />Address : <br />Juergen Mueller<br /> Lehrstuhl D fuer Mathematik, RWTH Aachen<br /> Templergraben 64<br /> 52056 Aachen<br /> Germany<br />br />Email: <span class="URL" ><a href="mailto:max@9hoeffer.de" >max@9hoeffer.de</a></span >br />Homepage: <span class="URL" ><a href="http://www-groups.mcs.st-and.ac.uk/~neunhoef " >http://www-groups.mcs.st-and.ac.uk/~neunhoef</a></span >br />Address : <br />Gustav-Freytag-Straße 40<br /> 50354 Hürth<br /> Germany<br />br />Email: <span class="URL" ><a href="mailto:felix.noeske@math.rwth-aachen.de" >felix.noeske@math.rwth-aachen.de</a></span >br />Homepage: <span class="URL" ><a href="http://www.math.rwth-aachen.de/~Felix.Noeske " >http://www.math.rwth-aachen.de/~Felix.Noeske</a></span >br />Address : <br />Felix Noeske<br /> Lehrstuhl D fuer Mathematik, RWTH Aachen<br /> Templergraben 64<br /> 52056 Aachen<br /> Germany<br />"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>NU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option ) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details . You should have received a copy of the GNU General Public License along with this program. If not, see <span class="URL" ><a href="https://www.gnu.org/licenses/ " >https://www.gnu.org/licenses/</a></span >.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X7AC0DE4D8555D291" >1.1 <span class="Heading" >Motivation for this package</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X786BACDB82918A65" >1.2 <span class="Heading" >Overview over this manual</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X80D704CC7EBFDF7A" >1.3 <span class="Heading" >Feedback</span ></a>span >div >div >div class="ContChap" ><a href="chap2.html#X80F00D467DD002D3" >2 <span class="Heading" >Installation of the <strong class="pkg" >orb</strong >-Package</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7FB00ED2787027A3" >2.1 <span class="Heading" >Recompiling the documentation</span ></a>span >div >div >div class="ContChap" ><a href="chap3.html#X7D55DB437F5407E8" >3 <span class="Heading" >Basic orbit enumeration</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X87DF498E7F386786" >3.1 <span class="Heading" >Enumerating orbits</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X86A89A0881CE04F6" >3.1-1 Orb</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7BCD5342793C7A7E" >3.1-2 Enumerate</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X81D5A4A97AA9D4B0" >3.1-3 IsClosed</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X81BF5A087B9E1353" >3.1-4 <span class="Heading" >Options for orbits</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7B11180F80A77D48" >3.1-5 <span class="Heading" >Output components of orbits</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X833670F47BD5632C" >3.1-6 StabWords</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X84F62CB679D6B3CE" >3.1-7 PositionOfFound</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X791CE79C8041058C" >3.1-8 UnderlyingPlist</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X79A6D04C7CBABFC7" >3.1-9 DepthOfSchreierTree</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7FEBA8B4838FBD52" >3.1-10 IsGradedOrbit</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7BBE86D97DF2304B" >3.1-11 Grades</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8389D8AB794EF721" >3.1-12 OrbitGraph</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7A08E68585088C89" >3.1-13 OrbitGraphAsSets</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X81C12D677CE815C7" >3.1-14 ActionOnOrbit</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7EA4E92180F142D3" >3.1-15 OrbActionHomomorphism</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7F927E787BA898BF" >3.1-16 TraceSchreierTreeForward</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X80615B4D83620AA1" >3.1-17 TraceSchreierTreeBack</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7D892CE87E7EBEDB" >3.1-18 ActWithWord</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X799D2F3C866B9AED" >3.1-19 EvaluateWord</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7D100BE4820039C1" >3.1-20 AddGeneratorsToOrbit</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X823F7A9A83EACFD0" >3.1-21 MakeSchreierTreeShallow</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8566B13379E697F6" >3.1-22 FindSuborbits</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X83015A9E823E1AB1" >3.1-23 OrbitIntersectionMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8245A2D280E66B2C" >3.1-24 ORB_EstimateOrbitSize</a></span >div ></div >div >div class="ContChap" ><a href="chap4.html#X8705763D8698C0B7" >4 <span class="Heading" >Hashing techniques</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X814DE39B7C1B1554" >4.1 <span class="Heading" >The idea of hashing</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X7AE36B967EB1382B" >4.2 <span class="Heading" >Hash functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7ACED4FB7C971A5A" >4.2-1 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X803D35D97B6E7CC5" >4.2-2 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7B04C17D7DC6E277" >4.2-3 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7F41F51C83E88759" >4.2-4 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X847801B87A03AA77" >4.2-5 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X819264A980D873EE" >4.2-6 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7BAD070A79E54131" >4.2-7 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7C7C0CDB7DCE95B4" >4.2-8 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X80C0C39080BFAA8F" >4.2-9 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X87C1B2F7871B7EA4" >4.2-10 ChooseHashFunction</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X80E195168734F8E3" >4.2-11 ChooseHashFunction</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X8424E70E78FAA203" >4.3 <span class="Heading" >Using hash tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X79F46D9982BB0E12" >4.3-1 HTCreate</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X833166757E58B83B" >4.3-2 HTAdd</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8585E1687AE9E409" >4.3-3 HTValue</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X788B50C17A472DFD" >4.3-4 HTUpdate</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X82A8245E875B0B8E" >4.3-5 HTDelete</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X805BC8667B91890E" >4.3-6 HTGrow</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X8069137484662072" >4.4 <span class="Heading" > The data structures for hash tables </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X81BD00DE877E2C0D" >4.4-1 <span class="Heading" > Memory requirements </span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8238A6C0834A48F4" >4.4-2 <span class="Heading" > Handling of collisions </span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X836F7C2C7932FEAE" >4.4-3 <span class="Heading" > Efficiency </span ></a>span >div ></div >div >div class="ContChap" ><a href="chap5.html#X86BA72E27E278718" >5 <span class="Heading" >Caching techniques</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X87639FAC8621A75A" >5.1 <span class="Heading" >The idea of caching</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7B269D167B6C9BF6" >5.2 <span class="Heading" >Using caches</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7FF40AE981FE6F75" >5.2-1 LinkedListCache</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7ECBA1228365BDC4" >5.2-2 CacheObject</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E1D239886BC762C" >5.2-3 ClearCache</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X819FD13C7CCC6810" >5.2-4 UseCacheObject</a></span >div ></div >div >div class="ContChap" ><a href="chap6.html#X8151A51884B7EE2C" >6 <span class="Heading" >Random elements</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6.html#X83F87C898304A0C8" >6.1 <span class="Heading" >Randomizing mutable objects</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X83DD8B39864A2C94" >6.1-1 Randomize</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7BBA80B882867C36" >6.1-2 MakeRandomVectors</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7DF0A6E885A4EE42" >6.1-3 MakeRandomLines</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6.html#X7B46C06479401BED" >6.2 <span class="Heading" >Product replacement</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X8290E4C57DE25CD4" >6.2-1 ProductReplacer</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7AB4297E78216855" >6.2-2 Next</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7EAED8EB78CCEDE2" >6.2-3 Reset</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X8227729983A3B366" >6.2-4 AddGeneratorToProductReplacer</a></span >div ></div >div >div class="ContChap" ><a href="chap7.html#X7DF379C283FE23EF" >7 <span class="Heading" >Searching in groups and orbits</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X85BB0EBC7F0D8329" >7.1 <span class="Heading" >Searching using orbit enumeration</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X7F6A0E447E369404" >7.2 <span class="Heading" >Random searches in groups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X7971BF5D8099E557" >7.2-1 RandomSearcher</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X835FBD72853595BE" >7.2-2 Search</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X833CDEF4843DF5C5" >7.3 <span class="Heading" >The dihedral trick and applications</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X84659F6786852150" >7.3-1 FindInvolution</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X7FBBCD5C82211934" >7.3-2 FindCentralisingElementOfInvolution</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X80CEAEAB7EDB57FE" >7.3-3 FindInvolutionCentralizer</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X7DE53BFB7A82324D" >7.4 <span class="Heading" >Orbit statistics on vector spaces</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X80E95A9D82ADB62D" >7.4-1 OrbitStatisticOnVectorSpace</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X8124E7F17C95BECB" >7.4-2 OrbitStatisticOnVectorSpaceLines</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X7F051A447E2E8573" >7.5 <span class="Heading" >Finding generating sets of subgroups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X80BB35D380A972BB" >7.5-1 FindShortGeneratorsOfSubgroup</a></span >div ></div >div >div class="ContChap" ><a href="chap8.html#X7F2630FB7AA3C73D" >8 <span class="Heading" >AVL trees</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap8.html#X792FFB378773B140" >8.1 <span class="Heading" >The idea of AVL trees</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap8.html#X7D4FEC9479D3EBB4" >8.2 <span class="Heading" >Using AVL trees</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X791E346F84F0430C" >8.2-1 AVLTree</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X83EC43DA871C7F60" >8.2-2 AVLCmp</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X7F65886F84E991C7" >8.2-3 AVLAdd</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X7E6EF8297C68F553" >8.2-4 AVLLookup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X82CE14F17B5DD6B2" >8.2-5 AVLDelete</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X7D1B85DA814DA26C" >8.2-6 AVLFindIndex</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X810E5CDF7ED14BF8" >8.2-7 AVLIndex</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X8541DB5C78B60A6B" >8.2-8 AVLIndexLookup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X817B8377799DE5E1" >8.2-9 AVLIndexAdd</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X79E13784868CEAAF" >8.2-10 AVLIndexDelete</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X7EF737C286E94F23" >8.2-11 AVLFind</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X80CF197882D71FD7" >8.2-12 AVLIndexFind</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X78B2EEB4804987F2" >8.2-13 AVLData</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X78DE1F2C80B0D55C" >8.2-14 AVLValue</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X83A5C59278E13248" >8.2-15 Display</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X805C33C281B29B00" >8.2-16 ELM_LIST</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X79975EC6783B4293" >8.2-17 Position</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X795EC9D67E34DAB0" >8.2-18 Add</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X7E98B11B79BA9167" >8.2-19 Remove</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X780769238600AFD1" >8.2-20 Length</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap8.html#X87BDB89B7AAFE8AD" ><code >8.2-21 \in</code ></a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap8.html#X87323803809E0EF5" >8.3 <span class="Heading" >The internal data structures</span ></a>span >div >div >div class="ContChap" ><a href="chap9.html#X7CC7EC257DD466E3" >9 <span class="Heading" >Orbit enumeration by suborbits</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap9.html#X819508B17A733D53" >9.1 <span class="Heading" ><code class="code" >OrbitBySuborbits</code > and its resulting objects</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X79B161FD84AB8C68" >9.1-1 OrbitBySuborbit</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X86CCD9B98156155E" >9.1-2 OrbitBySuborbitKnownSize</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X83C66D4A8603CA56" >9.1-3 Size</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7EBEA64D7A5F78E3" >9.1-4 Seed</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X80B78B657E77A485" >9.1-5 SuborbitsDb</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7B5E783478A337C9" >9.1-6 WordsToSuborbits</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7926C96485985614" >9.1-7 Memory</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X840AFA7987535AC5" >9.1-8 Stabilizer</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7F496D9B7C44DAAB" >9.1-9 StabWords</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X802068267DACF3F6" >9.1-10 SavingFactor</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X79DB081F827B53CB" >9.1-11 TotalLength</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X81ABF8407AF16C34" >9.1-12 Representatives</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X79552A1086449062" >9.1-13 SavingFactor</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7A96D6D37F0EC46A" >9.1-14 OrigSeed</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap9.html#X7FD5374278E83A36" >9.2 <span class="Heading" >Preparation functions for <code class="func" >OrbitBySuborbit</code > (<a href="chap9.html#X79B161FD84AB8C68" ><span class="RefLink" >9.1-1</span ></a>)</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X830E221D84E44A64" >9.2-1 OrbitBySuborbitBootstrapForVectors</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X799056597EA62513" >9.2-2 OrbitBySuborbitBootstrapForLines</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7919B1AB7D68780D" >9.2-3 OrbitBySuborbitBootstrapForSpaces</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap9.html#X80F036B378A3FD32" >9.3 <span class="Heading" >Data structures for orbit-by-suborbits</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7CFD48C17B48CDDD" >9.3-1 IsOrbitBySuborbitSetup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X855663F5790EA2D0" >9.3-2 <span class="Heading" >The global record <code class="code" >ORB</code ></span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap9.html#X8696CFD08768508D" >9.4 <span class="Heading" >Lists of orbit-by-suborbit objects</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7FB77D827E31AE24" >9.4-1 InitOrbitBySuborbitList</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X87CB441882F43F62" >9.4-2 IsVectorInOrbitBySuborbitList</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7D82CE2579A50B2C" >9.4-3 OrbitsFromSeedsToOrbitList</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X83A306918461D700" >9.4-4 VerifyDisjointness</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7ED405017E3A56CD" >9.4-5 Memory</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7D52885787865E81" >9.4-6 TotalLength</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7C4255287D394742" >9.4-7 Size</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap9.html#X7BFE12DE85CCE143" >9.4-8 SavingFactor</a></span >div ></div >div >div class="ContChap" ><a href="chap10.html#X7BDEA65183A3AE7B" >10 <span class="Heading" >Finding nice quotients</span ></a>div >div class="ContChap" ><a href="chap11.html#X7A489A5D79DA9E5C" >11 <span class="Heading" >Examples</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap11.html#X7D5456AC85A830A4" >11.1 <span class="Heading" >The Mathieu group <span class="SimpleMath" >M_{11}</span > acting in span class="SimpleMath" >24</span ></span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap11.html#X790F22B67C56A49F" >11.2 <span class="Heading" >The Fischer group <span class="SimpleMath" >Fi_{23}</span > acting in span class="SimpleMath" >1494</span >span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap11.html#X7D7BDBF87E7C45ED" >11.3 <span class="Heading" >The Conway group <span class="SimpleMath" >Co_1</span span class="SimpleMath" >24</span >span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap11.html#X781209EE7C9D3E0E" >11.4 <span class="Heading" >The Baby Monster <span class="SimpleMath" >B</span > acting on its 2A involutions</span ></a>span >div >div >div class="ContChap" ><a href="chapBib.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chap5.html" >5</a> <a href="chap6.html" >6</a> <a href="chap7.html" >7</a> <a href="chap8.html" >8</a> <a href="chap9.html" >9</a> <a href="chap10.html" >10</a> <a href="chap11.html" >11</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 100%
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