<?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 (LieRing) - 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="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 >LieRing</h1 >div >br />Email: <span class="URL" ><a href="mailto:cicalo@science.unitn.it" >cicalo@science.unitn.it</a></span >br />Address : <br />Serena Cicalò<br /> Dipartimento di Matematica e Informatica<br /> Via Ospedale 72<br br />br />Email: <span class="URL" ><a href="mailto:degraaf@science.unitn.it" >degraaf@science.unitn.it</a></span >br />Homepage: <span class="URL" ><a href="http://www.science.unitn.it/~degraaf " >http://www.science.unitn.it/~degraaf</a></span >"X7AA6C5737B711C89" name="X7AA6C5737B711C89" ></a></p>ions for dealing with finitely-presented Lie rings, and for performing the Lazard correspondence. The package also contains a small database of finitely-generated Lie rings satisfying an Engel condition.</p>"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></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#X8749E1888244CC3D" >1.1 <span class="Heading" >Preliminaries</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X865892E97C9D1E6D" >1.2 <span class="Heading" >The free Lie ring </span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X7994DA6587ABDA2D" >1.3 <span class="Heading" >The Lazard correspondence </span ></a>span >div >div >div class="ContChap" ><a href="chap2.html#X8173135A7D187358" >2 <span class="Heading" >The functions</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X865892E97C9D1E6D" >2.1 <span class="Heading" >The free Lie ring</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E52D2B884457822" >2.1-1 FreeLieRing</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X826A861E7E7D944E" >2.1-2 Degree</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7BDAF9F47EBC6C0E" >2.2 <span class="Heading" > Creating Lie rings </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X784B8B28809EAC37" >2.2-1 IsLieRing</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7DEFFA797BB7E432" >2.2-2 LieRingByStructureConstants</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7D58E7AB7B2788D2" >2.2-3 FpLieRing</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7D2CC3FF80F73EF8" >2.2-4 FpLieAlgebra</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7876A08584CBABAE" >2.3 <span class="Heading" > Working with Lie rings </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X837BE54C80DE368E" >2.3-1 Basis</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X804ADF0280F67CDC" >2.3-2 StructureConstantsTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7BF95CA07861A1AF" >2.3-3 Torsion</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X80B32F667BF6AFD8" >2.3-4 Coefficients</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7BC3398686B25634" >2.3-5 SubLieRing</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E97DBD778358F19" >2.3-6 LieRingIdeal</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X83D53D98809EC461" >2.3-7 NaturalHomomorphismByIdeal</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7900D17E7BA26A48" >2.3-8 LieLowerCentralSeries</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X790A24857D0E559A" >2.3-9 LieLowerPCentralSeries</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8111F58E7DE3E25C" >2.3-10 LieCentre</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X819C15027E16E335" >2.3-11 TensorWithField</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7994DA6587ABDA2D" >2.4 <span class="Heading" >The Lazard correspondence</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X81FC256983DC2A94" >2.4-1 PGroupToLieRing</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E683E5F80B27375" >2.4-2 LieRingToPGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7CB9E82C84258435" >2.5 <span class="Heading" >The database of <span class="SimpleMath" >n</span >-Engel Lie rings</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7F6C2B1D82E381D0" >2.5-1 SmallNEngelLieRing</a></span >div ></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="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >hr />"foot" >generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 97%
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