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arXiv · 1409.1289

Random groups are not left-orderable

Damian Orlef
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Abstract

We prove that random groups in the Gromov density model at any density $d$ have with overwhelming probability no non-trivial left-orderable quotients. In particular, random groups at densities $d<\frac{1}{2}$ are not left-orderable.

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Damian Orlef. 2014-09-04. Random groups are not left-orderable. https://arxiv.org/abs/1409.1289

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