映射类群的余子域属性与双曲群的剩余有限性
群论
2024-11-26 v2 几何拓扑
摘要
在假设每个双曲群都是剩余有限的前提下，我们证明了双曲型有限类型曲面的映射类群具有余子域属性。若满足同一假设，亦可推出 profinitely 等价的双曲 3 手术面之间的可共轭性。
引用
@article{arxiv.2410.00556,
title = {The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups},
author = {Henry Wilton and Alessandro Sisto},
journal= {arXiv preprint arXiv:2410.00556},
year = {2024}
}
备注
22 pages. Primary article by Wilton, with an appendix by Sisto. v2 incorporates comments on the first version. It includes a more refined profinite-rigidity statement (Theorem B(ii)), proved in the new section 5