The Cohen--Lyndon property in non-metric small-cancellation
arXiv:2310.20288
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.
27 pages, 7 figures. Primary article by Arenas handles the C(6) case. Appendix, written jointly with Duda, extends the result to the C(4)-T(4) and C(3)-T(6) settings. Final version accepted for publication