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CAT(0) cube complexes with flat hyperplanes

Group Theory 2020-09-10 v1

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.

Keywords

Cite

@article{arxiv.2009.04164,
  title  = {CAT(0) cube complexes with flat hyperplanes},
  author = {Anthony Genevois},
  journal= {arXiv preprint arXiv:2009.04164},
  year   = {2020}
}

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8 pages