English

Virtually abelian quotients of random groups

Group Theory 2019-02-19 v2

Abstract

It is well-known that random groups with at least as many relators as generators have vanishing first betti number with high probability. In this paper we extend this question and study maps from few-relators random groups to infinite virtually abelian groups.

Keywords

Cite

@article{arxiv.1902.02152,
  title  = {Virtually abelian quotients of random groups},
  author = {Gareth Wilkes},
  journal= {arXiv preprint arXiv:1902.02152},
  year   = {2019}
}

Comments

Mild revisions, with some explanations expanded

R2 v1 2026-06-23T07:33:32.094Z