Arbitrarily large finite quotients imply no uniform bound on depth

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108898We show that any group with arbitrarily large finite quotients admits generating sets with respect to which it has arbitrarily large finite dead-end depth. This extends a joint result with Riley and partially answers a question asked there.3 pages, no figuresGroup Theory20F65 (Primary) 20F22 (Secondary)Arbitrarily large finite quotients imply no uniform bound on depthtext