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<h1 >Guarana</h1 >
<h2>Applications of Lie methods for computations with infinite polycyclic groups</h2>
<p>
0.96.3</p>
<p>
11 February 2022
</p>
</div >
<p><b>
Björn Assmann
</b>
<br />Email: <span class="URL" ><a href="mailto:bjoern@mcs.st-and.ac.uk" >bjoern@mcs.st-and.ac.uk</a></span >
</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>
<h3>Copyright</h3>
<p>© 2007 Björn Assmann.</p>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>
<div class="contents" >
<h3>Contents<a id="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#X7E0647AA861EA26C" >1.1 <span class="Heading" >About Guarana</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X7E6EB42287311C08" >1.2 <span class="Heading" >Setup for computing the correspondence</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X80AD720B85736A05" >1.3 <span class="Heading" >Collection</span ></a>
</span >
</div >
</div >
<div class="ContChap" ><a href="chap2.html#X781C0216819C09A8" >2 <span class="Heading" >Computing the Mal'cev correspondence
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7D3DC4ED855DC13C" >2.1 <span class="Heading" >The main functions</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7A3976DA834C0E90" >2.1-1 MalcevObjectByTGroup</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7A6720DD7B4AF466" >2.1-2 UnderlyingGroup</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7CA021E28527763E" >2.1-3 UnderlyingLieAlgebra</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E6926C6850E7C4E" >2.1-4 Dimension</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X860138DA82C4F56D" >2.1-5 MalcevGrpElementByExponents</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X849FCF377F5E29C2" >2.1-6 MalcevLieElementByCoefficients</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X86CC8994841B1193" >2.1-7 RandomGrpElm</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X876F868B78430678" >2.1-8 RandomLieElm</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E7C986487C4EB02" >2.1-9 Log</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X86E48BC98197839E" >2.1-10 Exp</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7857704878577048" >2.1-11 *</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X80761843831B468E" >2.1-12 Comm</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X86C4910279A45173" >2.1-13 MalcevSymbolicGrpElementByExponents</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X849FCF377F5E29C2" >2.1-14 MalcevLieElementByCoefficients</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X81CAD2F27B2066C4" >2.2 <span class="Heading" >An example application</span ></a>
</span >
</div >
</div >
<div class="ContChap" ><a href="chap3.html#X7989E7D27B142919" >3 <span class="Heading" >Mal'cev collection
</span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X7D3DC4ED855DC13C" >3.1 <span class="Heading" >The main functions
</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7C7C33FB789E7F50" >3.1-1 MalcevCollectorConstruction</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X78FA4EF079BEA275" >3.1-2 GUARANA.Tr_n_O1</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X86FA27828711BB51" >3.1-3 GUARANA.F_2c_Aut1</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X79D925AD7AFF1202" >3.1-4 MalcevGElementByExponents</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X79730D657AB219DB" >3.1-5 Random</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7857704878577048" >3.1-6 *</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7DD44FEE7DE4E810" >3.1-7 GUARANA.AverageRuntimeCollec</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X81CAD2F27B2066C4" >3.2 <span class="Heading" >An example application
</span ></a>
</span >
</div >
</div >
<div class="ContChap" ><a href="chap4.html#X8360C04082558A12" >4 <span class="Heading" >Installation
</span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X81746D7285808409" >4.1 <span class="Heading" >Installing this package
</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X7F5D393E81A24451" >4.2 <span class="Heading" >Loading the Guarana package
</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X796DF52483B61C74" >4.3 <span class="Heading" >Running the test suite
</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 >
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