arXiv Analytics

Sign in

arXiv:2009.04164 [math.GR]AbstractReferencesReviewsResources

CAT(0) cube complexes with flat hyperplanes

Anthony Genevois

Published 2020-09-09Version 1

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.

Comments: 8 pages
Categories: math.GR
Subjects: 20F65, 20F67
Related articles: Most relevant | Search more
arXiv:2106.14931 [math.GR] (Published 2021-06-28)
Random groups at density $d<3/14$ act non-trivially on a CAT(0) cube complex
arXiv:2408.09091 [math.GR] (Published 2024-08-17)
On the Girth of Groups acting on CAT(0) cube complexes
arXiv:1709.08843 [math.GR] (Published 2017-09-26)
Hyperbolicities in CAT(0) cube complexes