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.

17 pages

References in corpus (1)

• A nilpotent quotient algorithm for L-presented groups

Cited by in corpus (3)

• The congruence subgroup problem for branch groups
• Commensurability growth of branch groups
• Profinite completion of Grigorchuk's group is not finitely presented