Complete Bredon cohomology and its applications to hierarchically defined groups
Complete Bredon cohomology and its applications to hierarchically defined groups
By considering the Bredon analogue of complete cohomology of a group, we show that every group in the class $\LHFF$ of type Bredon-$\FP_\infty$ admits a finite dimensional model for $\EFG$.
We also show that abelian-by-infinite cyclic groups admit a 3-dimensional model for the classifying space for the family of virtually nilpotent subgroups. This allows us to prove that for $\mF,$ the class of virtually cyclic groups, the class of $\LHFF$-groups contains all locally virtually soluble groups and all linear groups over C of integral characteristic.
143-156
Nucinkis, Brita
86582f48-4da6-4868-8700-d16ea4236c86
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Nucinkis, Brita
86582f48-4da6-4868-8700-d16ea4236c86
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Nucinkis, Brita and Petrosyan, Nansen
(2016)
Complete Bredon cohomology and its applications to hierarchically defined groups.
Mathematical Proceedings of the Cambridge Philosophical Society, 161 (1), .
(doi:10.1017/S0305004116000190).
Abstract
By considering the Bredon analogue of complete cohomology of a group, we show that every group in the class $\LHFF$ of type Bredon-$\FP_\infty$ admits a finite dimensional model for $\EFG$.
We also show that abelian-by-infinite cyclic groups admit a 3-dimensional model for the classifying space for the family of virtually nilpotent subgroups. This allows us to prove that for $\mF,$ the class of virtually cyclic groups, the class of $\LHFF$-groups contains all locally virtually soluble groups and all linear groups over C of integral characteristic.
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Submitted date: 10 February 2014
e-pub ahead of print date: 8 April 2016
Organisations:
Pure Mathematics
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Local EPrints ID: 390772
URI: http://eprints.soton.ac.uk/id/eprint/390772
ISSN: 0305-0041
PURE UUID: 15d04e03-cf92-4598-83f0-4d3a9e94b47c
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Date deposited: 08 Apr 2016 14:19
Last modified: 15 Mar 2024 03:49
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Author:
Brita Nucinkis
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