Centralisers in Houghton's Groups
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2012
- DOI:
- 10.48550/arXiv.1207.1597
- arXiv:
- arXiv:1207.1597
- Bibcode:
- 2012arXiv1207.1597S
- Keywords:
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- Mathematics - Group Theory;
- 20J05;
- 20E07
- E-Print:
- 14 pages, 1 figure