Röver's simple group is of type F ∞
Belk, James (Bard College. Mathematics Program)
Matucci, Francesco (Universidade de Lisboa. Centro de Algebra)

Date:	2016
Abstract:	We prove that Claas Röver's Thompson-Grigorchuk simple group V G has type F∞. The proof involves constructing two complexes on which V G acts: a simplicial complex analogous to the Stein complex for V , and a polysimplicial complex analogous to the Farley complex for V . We then analyze the descending links of the polysimplicial complex, using a theorem of Belk and Forrest to prove increasing connectivity.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Thompson's groups ; Grigorchuk's group ; Finiteness properties ; Polysimplicial complex
Published in:	Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 501-524 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/311018
DOI: 10.5565/PUBLMAT_60216_07

24 p, 406.6 KB

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