稳定子群的交性质与有界上同调
几何拓扑
2017-02-06 v2 群论
摘要
我们证明了有限生成群的有限个稳定子群具有有限高度、有限宽度和有界堆积。随后,我们利用关于共轭子群交的知识,刻画了可以同时延拓到环境群上的双曲嵌入子群上的有限族拟同态。
引用
@article{arxiv.1612.07227,
title = {Intersection properties of stable subgroups and bounded cohomology},
author = {Yago Antolín and Mahan Mj and Alessandro Sisto and Samuel J. Taylor},
journal= {arXiv preprint arXiv:1612.07227},
year = {2017}
}
备注
Version 2 has a new title, added applications to bounded cohomology, and two additional authors. 16 pages