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
4-33
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Linnell, Peter A.
bb3da975-a3b7-4fdb-a752-e97dc4044d59
15 January 2011
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), .
(doi:10.1016/j.jalgebra.2009.03.001).
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
Other
0810.2734v1
- Accepted Manuscript
More information
e-pub ahead of print date: 24 March 2009
Published date: 15 January 2011
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 202221
URI: http://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: 14 Mar 2024 04:23
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Contributors
Author:
Yago Antolin
Author:
Warren Dicks
Author:
Peter A. Linnell
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