Cohomological finiteness conditions and centralisers in generalisations of Thompson's group V

Conchita Martinez-Perez, Francesco Matucci, Brita E. A. Nucinkis

We consider generalisations of Thompson's group $V$, denoted $V_r(\Sigma )$, which also include the groups of Higman, Stein and Brin. We show that, under some mild hypotheses, $V_r(\Sigma )$ i…