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May 12, 2019 at 11:12 vote accept AGenevois
May 2, 2019 at 18:53 comment added YCor OK I see, it would require checking whether any specific thing is used ($V_n$ is just one particular choice among the $n-1$ Higman-Thompson groups $V_{n,m}$ for $m\in\mathbf{Z}/(n-1)\mathbf{Z}$).
May 2, 2019 at 18:41 comment added AGenevois The decomposition of centralisers is stated and proved only for $V_n$. It seems reasonable to think that the argument also applies to Higman-Thompson groups, but I prefer to refer to a statement which is actually proved.
May 2, 2019 at 17:06 comment added YCor It seems that you're using two different notations in the same post for $V_n$ (which is among the $G_{n,m}$). I guess that all you say applies for centralizers in arbitrary Higman-Thompson groups (the restriction to $V_n$ is not natural).
May 2, 2019 at 16:55 history answered AGenevois CC BY-SA 4.0