First-order sentences in random groups III
Group Theory
2025-07-29 v1
Abstract
We show that a first-order sentence is almost surely true in a random group of density d<1/2 if and only if it is true in a non-abelian free group.
Cite
@article{arxiv.2507.19740,
title = {First-order sentences in random groups III},
author = {Olga Kharlampovich and Alexei Miasnikov and Rizos Sklinos},
journal= {arXiv preprint arXiv:2507.19740},
year = {2025}
}