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

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DOI

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 
Damian Orlef. Random groups are not left-orderable. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 175-185. doi: 10.4064/cm7074-11-2016
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