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arxiv: 0904.1600 · v1 · submitted 2009-04-09 · 🧮 math.GR

The Twisted Twin of the Grigorchuk Group

classification 🧮 math.GR
keywords grigorchukgrouptwistedadmitscongruencedifferencesendomorphicfinite
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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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