剩余有限性、QCERF 与双曲群的填充
群论
2014-11-11 v2 几何拓扑
摘要
我们证明了如果每个双曲群都是剩余有限的，那么每个双曲群的每个拟凸子群都是可分的。主要工具是相对双曲 Dehn 填充。
引用
@article{arxiv.0802.0709,
title = {Residual finiteness, QCERF, and fillings of hyperbolic groups},
author = {Ian Agol and Daniel Groves and Jason Fox Manning},
journal= {arXiv preprint arXiv:0802.0709},
year = {2014}
}
备注
(v1) 22 pages, 2 figures. (v2) 24 pages, 2 figures. An error in the proof and statement of the main technical lemma was corrected, and some other small corrections and clarifications were made