The Twisted Twin of the Grigorchuk Group

Details The Twisted Twin of the Grigorchuk Group The Twisted Twin of the Grigorchuk Group

2009-04-09

arxiv.org/abs/0904.1600v1

Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488

Mathematics

Group Theory

17 pages

Scientific paper

10.1142/S0218196710005728

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.

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