We explain how to adapt a construction due to M. Sageev in order to construct a proper action of a group on a CAT(0) cube complex starting from a proper action of the group on a wall space

Chatterji, Indira

Niblo, Graham

English

Southampton (e-Prints Soton)

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From wall spaces to CAT(0) cube complexes

Updated to submitted versionInternational audienceWe 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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https://hal.archives-ouvertes.fr/hal-00471148

From wall spaces to CAT(0) cube complexes

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Southampton (e-Prints Soton)

HAL Descartes