ASYMPTOTIC CONES OF FINITELY GENERATED GROUPS

SIMON THOMAS; BOBAN VELICKOVIC

doi:10.1112/S0024609399006621

Abstract

Answering a question of Gromov [7], we shall present an example of a finitely generated group Γ and two non-principal ultrafilters [Ascr ], [Bscr ] such that the asymptotic cones Con[Ascr ] Γ and Con[Bscr ] Γ are not homeomorphic.

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ASYMPTOTIC CONES OF FINITELY GENERATED GROUPS

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