Geodesic
Random groups are not left-orderable
Damian Orlef1
1 Institute of Mathematics Polish Academy of Sciences 00-656 Warszawa, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 175-185.

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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 $d \lt 1/2$ are not left-orderable.
DOI : 10.4064/cm7074-11-2016
Keywords: prove random groups gromov density model density nbsp have overwhelming probability non trivial left orderable quotients particular random groups densities left orderable

Damian Orlef 1

1 Institute of Mathematics Polish Academy of Sciences 00-656 Warszawa, Poland 
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Damian Orlef. Random groups are not left-orderable. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 175-185. doi : 10.4064/cm7074-11-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm7074-11-2016/

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