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From wall spaces to CAT(0) cube complexes

Abstract : We explain how to adapt a construction of M. Sageev's to construct a proper action on a CAT(0) cube complex starting from a proper action on a wall space, and use this to deduce that if G is a group containing an amenable subgroup H of super-polynomial growth and G acts properly on a space with walls then there are arbitrarily large families of walls in the wall space which pairwise cross.
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Contributor : Indira Chatterji <>
Submitted on : Wednesday, April 7, 2010 - 2:32:38 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

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Indira Chatterji, Graham Niblo. From wall spaces to CAT(0) cube complexes. International Journal of Algebra and Computation, World Scientific Publishing, 2005, 15 (5-6), pp.875. ⟨hal-00471148⟩



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