Classifying spaces with virtually cyclic stabilizers for linear groups
Classifying spaces with virtually cyclic stabilizers for linear groups
We show that every discrete subgroup of GL(n, ?) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ?), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.
381-394
Degrijse, D.
98fe5e1d-3eae-4b03-b0ce-02cf5f4848d4
Kohl, R.
070d3802-55b5-4f65-a72c-841201f47c6c
Petrosyan, N.
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
June 2015
Degrijse, D.
98fe5e1d-3eae-4b03-b0ce-02cf5f4848d4
Kohl, R.
070d3802-55b5-4f65-a72c-841201f47c6c
Petrosyan, N.
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Degrijse, D., Kohl, R. and Petrosyan, N.
(2015)
Classifying spaces with virtually cyclic stabilizers for linear groups.
Transformation Groups, 20 (2), .
(doi:10.1007/s00031-015-9307-z).
Abstract
We show that every discrete subgroup of GL(n, ?) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ?), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.
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Accepted/In Press date: 5 January 2015
e-pub ahead of print date: 3 March 2015
Published date: June 2015
Organisations:
Mathematical Sciences
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Local EPrints ID: 390766
URI: http://eprints.soton.ac.uk/id/eprint/390766
ISSN: 1083-4362
PURE UUID: 55418510-10d5-4a55-8453-8e0f0fbcf6f5
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Date deposited: 07 Apr 2016 09:19
Last modified: 15 Mar 2024 03:49
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Author:
D. Degrijse
Author:
R. Kohl
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