THE TWISTED TWIN OF THE GRIGORCHUK GROUP-Reference-Cited by-同舟云学术

THE TWISTED TWIN OF THE GRIGORCHUK GROUP

Published:2010-06 Issue:04 Volume:20 Page:465-488
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BARTHOLDI LAURENT¹,SIEGENTHALER OLIVIER²

Affiliation:

1. Mathematisches Institut, Georg-August Universität zu Göttingen, Bunsenstrasse 3–5, D-37073 Göttingen, Germany

2. Departement Mathematik, Rämistrasse 101, CH-8092 Zürich, Switzerland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196710005728

Reference14 articles.

1. Endomorphic presentations of branch groups

2. A NILPOTENT QUOTIENT ALGORITHM FOR CERTAIN INFINITELY PRESENTED GROUPS AND ITS APPLICATIONS

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