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arXiv 2012-07-06 0 views

Centralisers in Houghton's Groups

John-Green, Simon St

Original · EN

We study the centralisers of elements, finite subgroups and virtually cyclic subgroups of Houghton's group Hn. We discuss various Bredon (co-)homological finiteness conditions satisfied by Hn including the Bredon (co-)homological dimension and Bredon-FPn conditions, which are analogs of the ordinary co-homological dimension and FPn conditions respectively.

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