The Twisted Twin of the Grigorchuk Group
Group Theory
2010-06-30 v1
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.
Cite
@article{arxiv.0904.1600,
title = {The Twisted Twin of the Grigorchuk Group},
author = {Laurent Bartholdi and Olivier Siegenthaler},
journal= {arXiv preprint arXiv:0904.1600},
year = {2010}
}
Comments
17 pages