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CAT(0) cube complexes with flat hyperplanes
Journal article   Open access   Peer reviewed

CAT(0) cube complexes with flat hyperplanes

Anthony Genevois
Proceedings of the American Mathematical Society, Vol.151(7), pp.2749-2757
06/04/2023

Abstract

In this short note, we show that a group acting geometrically on a CAT(0) cube complex with virtually abelian hyperplane-stabilisers must decompose virtually as a free product of free abelian groups and surface groups.
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