Intersection properties of stable subgroups and bounded cohomology
Geometric Topology
2017-02-06 v2 Group Theory
Abstract
We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width and bounded packing. We then use knowledge about intersections of conjugates to characterize finite families of quasimorphisms on hyperbolically embedded subgroups that can be to simultaneously extended to the ambient group.
Keywords
Cite
@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}
}
Comments
Version 2 has a new title, added applications to bounded cohomology, and two additional authors. 16 pages