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Centralizers in Houghton’s Groups

Published online by Cambridge University Press:  05 January 2015

Simon St. John-Green
Simon St. John-Green*
Affiliation:
School of Mathematics, University of Southampton, University Road, Southampton SO17 1BJ, UK (s.stjohn-green@soton.ac.uk)
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Abstract

We calculate the centralizers 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 FPn conditions, which are analogues of the ordinary cohomological dimension and FPn conditions, respectively.

Keywords

Houghton’s groupcentralizersfiniteness conditionsPrimary 20J0520E07
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 769 - 785
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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