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arxiv: 1603.01150 · v1 · pith:AN5URH7Gnew · submitted 2016-03-03 · 🧮 math.GR · math.GT

The Basilica Thompson group is not finitely presented

classification 🧮 math.GR math.GT
keywords basilicafinitelygrouppresentedthompsonbelkcertaincomplexes
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We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP_2. The proof involves developing techniques for proving non-simple connectedness of certain subcomplexes of CAT(0) cube complexes.

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