On Bredon homology for elementary amenable groups
On Bredon homology for elementary amenable groups
We show that for elementary amenable groups the Hirsch length is equal to the Bredon homological dimension. This also implies that countable elementary amenable groups admit a finite-dimensional model for $\underbar{EG}$ of dimension less than or equal to the Hirsch length plus one. Some remarks on groups of type $FP_\infty$ are also made.
5-11
Flores, Ramon J.
5ce79aad-bcb8-4063-bb75-78fe57ef753d
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
January 2007
Flores, Ramon J.
5ce79aad-bcb8-4063-bb75-78fe57ef753d
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
Flores, Ramon J. and Nucinkis, Brita E.A.
(2007)
On Bredon homology for elementary amenable groups.
Proceedings of the American Mathematical Society, 135, .
(doi:10.1090/S0002-9939-06-08565-0).
Abstract
We show that for elementary amenable groups the Hirsch length is equal to the Bredon homological dimension. This also implies that countable elementary amenable groups admit a finite-dimensional model for $\underbar{EG}$ of dimension less than or equal to the Hirsch length plus one. Some remarks on groups of type $FP_\infty$ are also made.
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Published date: January 2007
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Local EPrints ID: 43351
URI: http://eprints.soton.ac.uk/id/eprint/43351
ISSN: 0002-9939
PURE UUID: 2bf85347-2ec9-4379-89f8-9574bea315a1
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Date deposited: 23 Jan 2007
Last modified: 15 Mar 2024 08:54
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Author:
Ramon J. Flores
Author:
Brita E.A. Nucinkis
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