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Balanced walls for random groups

Authors
  • Mackay, John M.
  • Przytycki, Piotr
Type
Preprint
Publication Date
Jan 19, 2015
Submission Date
Jul 01, 2014
Identifiers
arXiv ID: 1407.0332
Source
arXiv
License
Yellow
External links

Abstract

We study a random group G in the Gromov density model and its Cayley complex X. For density < 5/24 we define walls in X that give rise to a nontrivial action of G on a CAT(0) cube complex. This extends a result of Ollivier and Wise, whose walls could be used only for density < 1/5. The strategy employed might be potentially extended in future to all densities < 1/4.

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