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Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Cohomological finiteness properties Brin-Thompson-Higman groups 2V 3V
2010/12/10
We show that Brin’s generalisations 2V and 3V of the Thompson-Higman group V are of type FP1. Our methods also give a new proof that both groups are finitely presented.
A slight modification of the definition of the Thompson-Higman groups Gk,1 and Fk,1 leads to
inverse monoids that map onto Gk,1 (respectively Fk,1), and that have interesting properties: they are fin...