CAT(0) cube complexes with flat hyperplanes

Genevois, Anthony

doi:10.1090/proc/15490

CAT(0) cube complexes with flat hyperplanes
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by Anthony Genevois;

Proc. Amer. Math. Soc. 151 (2023), 2749-2757

DOI: https://doi.org/10.1090/proc/15490

Published electronically: April 6, 2023

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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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