English

Centralisers in Houghton's Groups

Group Theory 2013-09-10 v2

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.

Cite

@article{arxiv.1207.1597,
  title  = {Centralisers in Houghton's Groups},
  author = {Simon St John-Green},
  journal= {arXiv preprint arXiv:1207.1597},
  year   = {2013}
}

Comments

14 pages, 1 figure; Revised Version

R2 v1 2026-06-21T21:31:47.833Z