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arXiv · 2310.20288

The Cohen--Lyndon property in non-metric small-cancellation

Macarena Arenas·Karol Duda
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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.

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Macarena Arenas, Karol Duda. 2025-10-23. The Cohen--Lyndon property in non-metric small-cancellation. https://arxiv.org/abs/2310.20288

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