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Classifying spaces with virtually cyclic stabilizers for linear groups

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.
1083-4362
381-394
Degrijse, D.
98fe5e1d-3eae-4b03-b0ce-02cf5f4848d4
Kohl, R.
070d3802-55b5-4f65-a72c-841201f47c6c
Petrosyan, N.
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
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), 381-394. (doi:10.1007/s00031-015-9307-z).

Record type: Article

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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More information

Accepted/In Press date: 5 January 2015
e-pub ahead of print date: 3 March 2015
Published date: June 2015
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 390766
URI: https://eprints.soton.ac.uk/id/eprint/390766
ISSN: 1083-4362
PURE UUID: 55418510-10d5-4a55-8453-8e0f0fbcf6f5

Catalogue record

Date deposited: 07 Apr 2016 09:19
Last modified: 15 Jul 2019 20:38

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