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arXiv · 1407.0332

Balanced walls for random groups

John M. Mackay·Piotr Przytycki
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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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John M. Mackay, Piotr Przytycki. 2014-07-01. Balanced walls for random groups. https://doi.org/10.1307/mmj/1434731930

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