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arXiv · 0904.1600

The Twisted Twin of the Grigorchuk Group

Laurent Bartholdi·Olivier Siegenthaler
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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.

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Laurent Bartholdi, Olivier Siegenthaler. 2009-04-09. The Twisted Twin of the Grigorchuk Group. https://doi.org/10.1142/s0218196710005728

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