Groups acting on cubes and Kazhdan's property (T)

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), pp. 693-699.


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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).

Item Type: Article
ISSNs: 0002-9939 (print)
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ePrint ID: 29812
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Date Deposited: 21 Dec 2006
Last Modified: 16 Apr 2017 22:21
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