Submission date: 10 June 2021

Abstract:

We prove that a random group, in Gromov's density model with d < 1/16, satisfies a universal sentence σ (in the language of groups) if and only if σ is true in a nonabelian free group.

Mathematics Subject Classification: 20F65, 03C60

Keywords and phrases:

Full text arXiv 2106.05461: pdf, ps.