Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00471148
Contributor : Indira Chatterji <>
Submitted on : Wednesday, April 7, 2010 - 2:32:38 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

Links full text

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

113