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Non-orientable surface-plus-one-relation groups

Non-orientable surface-plus-one-relation groups
Non-orientable surface-plus-one-relation groups
Recently Dicks–Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups
0021-8693
4-33
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Linnell, Peter A.
bb3da975-a3b7-4fdb-a752-e97dc4044d59
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Linnell, Peter A.
bb3da975-a3b7-4fdb-a752-e97dc4044d59

Antolin, Yago, Dicks, Warren and Linnell, Peter A. (2011) Non-orientable surface-plus-one-relation groups. Journal of Algebra, 326 (1), 4-33. (doi:10.1016/j.jalgebra.2009.03.001).

Record type: Article

Abstract

Recently Dicks–Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups

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0810.2734v1 - Accepted Manuscript
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e-pub ahead of print date: 24 March 2009
Published date: 15 January 2011
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 202221
URI: https://eprints.soton.ac.uk/id/eprint/202221
ISSN: 0021-8693
PURE UUID: 443be2cf-f109-44e9-aa48-d0e1f420a95b

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Date deposited: 04 Nov 2011 11:34
Last modified: 18 Jul 2017 11:11

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Contributors

Author: Yago Antolin
Author: Warren Dicks
Author: Peter A. Linnell

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