非度量小消去中的 Cohen–Lyndon 性质
群论
2025-10-24 v3 几何拓扑
摘要
我们证明了 Cohen–Lyndon 性质对所有非度量小消去商都成立。这推广了度量小消去情形下的类似结果，并回答了 Lyndon 于 1966 年以及 Wall 在其 1979 年问题列表中提出的一个问题。
引用
@article{arxiv.2310.20288,
title = {The Cohen--Lyndon property in non-metric small-cancellation},
author = {Macarena Arenas and Karol Duda},
journal= {arXiv preprint arXiv:2310.20288},
year = {2025}
}
备注
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