Groups acting on cubes and Kazhdan's property (T)
Groups acting on cubes and Kazhdan's property (T)
We show that a group G contains a subgroup K with e(G,K) > 1 if and only if it admits an action on a connected cube that is transitive on the hyperplanes and has no fixed point. As a corollary we deduce that a countable group Gwith such a subgroup does not satisfy Kazhdan's property (T).
693-699
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Roller, Martin A.
d8dc61e9-68be-44b3-9914-23e4d540a1db
1996
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Roller, Martin A.
d8dc61e9-68be-44b3-9914-23e4d540a1db
Niblo, Graham A. and Roller, Martin A.
(1996)
Groups acting on cubes and Kazhdan's property (T).
Proceedings of the American Mathematical Society, 126 (3), .
Abstract
We show that a group G contains a subgroup K with e(G,K) > 1 if and only if it admits an action on a connected cube that is transitive on the hyperplanes and has no fixed point. As a corollary we deduce that a countable group Gwith such a subgroup does not satisfy Kazhdan's property (T).
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Published date: 1996
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Local EPrints ID: 29812
URI: http://eprints.soton.ac.uk/id/eprint/29812
ISSN: 0002-9939
PURE UUID: e514d571-c8ce-4d7c-9a06-22a5cf758ce0
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Date deposited: 21 Dec 2006
Last modified: 08 Jan 2022 02:39
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Author:
Martin A. Roller
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