Groups acting on cubes and Kazhdan’s property (T)-Reference-Cited by-同舟云学术

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

Published:1998 Issue:3 Volume:126 Page:693-699
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Niblo Graham,Roller Martin

Abstract

We show that a group G G contains a subgroup K K with e ( G , K ) > 1 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 G G with such a subgroup does not satisfy Kazhdan’s property (T).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-03/S0002-9939-98-04463-3/S0002-9939-98-04463-3.pdf

Reference12 articles.

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4. Ends;Epstein, D. B. A.,1962

5. G. Elek, M. Ramachandran, Two remarks on groups with Kazhdan’s property (T), Preprint, SUNY , Buffalo (May 1996).

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