Title
The Twisted Twin Of The Grigorchuk Group
Abstract
We study a twisted version of Grigorchuk's first group, and stress its similarities and differences to its model.In particular, we show that it admits a finite endomorphic presentation, has infinite-rank multiplier, and does not have the congruence property.
Year
DOI
Venue
2010
10.1142/S0218196710005728
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
Self-similar group, automata group, group acting on tree, torsion group, just-infinite group, endomorphic presentation, Schur multiplier, congruence property
Grigorchuk group,Discrete mathematics,Algebra,Perfect group,G-module,Dicyclic group,Presentation of a group,Quaternion group,Schur multiplier,Mathematics,Alternating group
Journal
Volume
Issue
ISSN
20
4
0218-1967
Citations 
PageRank 
References 
2
0.58
0
Authors
2
Name
Order
Citations
PageRank
Laurent Bartholdi1278.74
Olivier Siegenthaler220.92