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<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="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

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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>
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<h3>Copyright</h3>
<p>© 2007 Björn Assmann.</p>

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<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>
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<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>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X80AD720B85736A05">1.3 <span class="Heading">Collection</span></a>
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<div class="ContChap"><a href="chap2.html#X781C0216819C09A8">2 <span class="Heading">Computing the Mal'cev correspondence</span></a>
<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>
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<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>
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<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>
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<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>
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<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>
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<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>
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<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>
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<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>
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<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>
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<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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