Röver’s simple group is of type F_\infty
Belk, James; Matucci, Francesco
Publicacions Matematiques, 60(2) (2016), 501-524
https://dx.doi.org/10.5565/PUBLMAT_60216_07
We prove that Claas Rover's Thompson-Grigorchuk simple group $V\mathcal{G}$ has type $F_\infty$. The proof involves constructing a filtered simplicial complex on which $V\mathcal{G}$ acts, and then analyzing the descending links
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