<h4>1.1 <span class="Heading">java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 0
<p>In 1980, Grigorchuk <a href="chapBib_mj.html#biBGrigorchuk80">[Gri80]</a> gave an example of an infinite, finitely generated torsion group whichjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>The Grigorchuk group is not finitely presentable (see <a href="chapBib_mj.html#biBGrigorchuk99">java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>where <span class="SimpleMath">\(\sigma\)</span> is the <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X7DFB63A97E67C0A1">1.1 <span class="Heading">Introduction</span>/span>
<p>In 2003, Bartholdi <a href="chapBib_mj.html#biBBartholdi03">[Bar03]</a> introduced the notion of an <em>L-presentation</em> for presentations of this type; that is, a group presentation of the form</p>
<p class="center">\[G=\left\langle S \left| Q\cup \bigcup_{\varphi\in\Phi^*} R^\varphi\right.\right\rangle,\]</p>
<p>where <span class="SimpleMath">\(\Phi^*\)</span> denotes the free monoid generated by a set of free group endomorphisms
<p>The <strong class="pkg">lpres</
<p>Our nilpotent quotient algorithm generalizes Nickel's algorithm for finitely presented groups (see <a href="chapBib_mj.html#biBNickel96">[Nic96]</java.lang.StringIndexOutOfBoundsException: Range [0, 150) out of bounds for length 0
<p>Since finite L-presentations generalize finite presentations, our algorithm also
<p>A detailed description of our algorithm can be found in <a href="chapBib_mj.html#biBBEH08">[BEH08]</a> or in the diploma thesis <a href="chapBib_mj.html#biBH08java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>The <strong class="pkg">lpres</strong>-package also includes the Reidemeister-Schreier algorithm from <a href="chapBib_mj.html#biBMR2876891">[Har12]</a>. L-presented groups were introduced as a tool to understand self-similar groups
<p>Finally, we note that we use the term "algorithm" somewhat loosely: many of the algorithms in this package arejava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.html#contents">[Contents]</a> <a href="chap0_mj.
Die Informationen auf dieser Webseite wurden
nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit,
noch Qualität der bereit gestellten Informationen zugesichert.
Bemerkung:
Die farbliche Syntaxdarstellung und die Messung sind noch experimentell.
