Abstract
We consider generalisations of Thompson's group V, denoted by Vr(Σ), which also include the groups of Higman, Stein and Brin. We show that, under some mild hypotheses, Vr(Σ) is the full automorphism group of a Cantor algebra. Under some further minor restrictions, we prove that these groups are of type F∞ and that this implies that also centralisers of finite subgroups are of type F∞.
Original language | English |
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Pages (from-to) | 909-921 |
Number of pages | 13 |
Journal | Forum Mathematicum |
Volume | 28 |
Issue number | 5 |
Early online date | 20 Oct 2015 |
DOIs | |
Publication status | Published - 1 Sept 2016 |