The free group onngenerators modulon+urandom relations asngoes to infinity

Abstract

AbstractWe show that, asngoes to infinity, the free group onngenerators, modulon+u{n+u}random relations, converges to a random group that we give explicitly. This random group is a non-abelian version of the random abelian groups that feature in the Cohen–Lenstra heuristics. For eachn, these random groups belong to the few relator model in the Gromov model of random groups.