The Cohen–Lyndon property in non-metric small cancellation (with an appendix by Macarena Arenas and Karol Duda)

Abstract

We show that the Cohen–Lyndon property holds for all non-metric small cancellation quotients. This generalises the analogous result from the metric small cancellation setting and answers a question asked by Lyndon in 1966 and by Wall in his 1979 problem list.