<html><head><title>NQL : a GAP 4 package - References</title></head> <body text="#000000" bgcolor="#ffffff"> <h1><font face="Gill Sans,Helvetica,Arial">NQL</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - References</h1><dl> <dt><a name="Bartholdi03"><b>[Bartholdi03]</b></a><dd> Laurent Bartholdi. <br> Endomorphic presentations of branch groups. <br> <em>J. Algebra</em>, 268:419--443, 2003. <dt><a name="Baumslag71"><b>[Baumslag71]</b></a><dd> Gilbert Baumslag. <br> A finitely generated, infinitely related group with trivial multiplicator. <br> 5:131--136, 1971. <dt><a name="BEH07"><b>[BEH07]</b></a><dd> Laurent Bartholdi, Bettina Eick, and René Hartung. <br> A nilpotent quotient algorithm for certain infinitely presented groups. <br> Submitted, (arXiv:0706.3131). <dt><a name="BartholdiGrigorchuk02"><b>[BartholdiGrigorchuk02]</b></a><dd> Laurent Bartholdi and Rostislav I. Grigorchuk. <br> On parabolic subgroups and Hecke algebras of some fractal groups. <br> <em>Serdica Math. J.</em>, 28(1):47--90, 2002. <dt><a name="BrunnerVieiraSidki99"><b>[BrunnerVieiraSidki99]</b></a><dd> A. M. Brunner, Said Sidki, and Ana Cristina Vieira. <br> A just-nonsolvable torsion-free group defined on the binary tree. <br> 211(1):99--114, 1999. <dt><a name="BartholdiVirag05"><b>[BartholdiVirag05]</b></a><dd> Laurent Bartholdi and Bálint Virág. <br> Amenability via random walks. <br> <em>Duke Math. J.</em>, 130(1):39--56, 2005. <dt><a name="FabrykowskiGupta85"><b>[FabrykowskiGupta85]</b></a><dd> Jacek Fabrykowski and Narain Gupta. <br> On groups with sub-exponential growth functions. <br> <em>J. Indian Math. Soc. (N.S.)</em>, 49(3-4):249--256 (1987), 1985. <dt><a name="Grigorchuk80"><b>[Grigorchuk80]</b></a><dd> R.I. Grigorchuk. <br> Burnside's problem on periodic groups. <br> <em>Functional Analysis and its Applications</em>, 14:41--43, 1980. <dt><a name="Grigorchuk83"><b>[Grigorchuk83]</b></a><dd> R. I. Grigorchuk. <br> On the Milnor problem of group growth. <br> <em>Dokl. Akad. Nauk SSSR</em>, 271(1):30--33, 1983. <dt><a name="Grigorchuk98"><b>[Grigorchuk98]</b></a><dd> R. I. Grigorchuk. <br> An example of a finitely presented amenable group that does not belong to the class EG. <br> <em>Mat. Sb.</em>, 189(1):79--100, 1998. <dt><a name="Grigorchuk99"><b>[Grigorchuk99]</b></a><dd> R. I. Grigorchuk. <br> On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata. <br> In <em>Groups St. Andrews 1997 in Bath, I</em>, volume 260 of <em> London Math. Soc. Lecture Note Ser.</em>, pages 290--317. Cambridge Univ. Press, Cambridge, 1999. <dt><a name="GrigorchukZuk02"><b>[GrigorchukZuk02]</b></a><dd> Rostislav Grigorchuk and Andrzej Zuk. <br> On a torsion-free weakly branch group defined by a three state automaton. <br> <em>Internat. J. Algebra Comput.</em>, 12(1--2):223--246, 2002. <dt><a name="H08"><b>[H08]</b></a><dd> René Hartung. <br> <em>A nilpotent quotient algorithm for finitely L-presented groups</em>. <br> Diploma thesis, University of Braunschweig, 2008. <br> <a href="http://www-public.tu-bs.de:8080/~y0019492/pub/index.html">http://www-public.tu-bs.de:8080/~y0019492/pub/index.html</a>. <dt><a name="Lysenok85"><b>[Lysenok85]</b></a><dd> I.G. Lysenok. <br> A system of defining relations for a Grigorchuk group. <br> <em>Mathematical Notes</em>, 38:784--792, 1985. <dt><a name="Nickel96"><b>[Nickel96]</b></a><dd> Werner Nickel. <br> Computing nilpotent quotients of finitely presented groups. <br> <em>DIMACS Series in Discrete Mathematics and Theoretical Computer Science</em>, 25:175--191, 1996. <dt><a name="nq"><b>[nq]</b></a><dd> Werner Nickel. <br> <em>NQ</em>, 2003. <br> A <font face="Gill Sans,Helvetica,Arial">GAP</font>4 package, see <a href="#GAP4"><cite>GAP4</cite></a>. <dt><a name="Sidki87"><b>[Sidki87]</b></a><dd> Said Sidki. <br> On a 2-generated infinite 3-group: The presentation problem. <br> <em>Journal of Algebra</em>, 110:13--23, 1987. </dl><p> [<a href="chapters.htm">Up</a>]<p> <P> <address>NQL manual<br>November 2008 </address></body></html>
