Research announcement: A combination theorem for acylindrical complexes of hyperbolic groups and Cannon-Thurston maps
Group Theory
2021-07-13 v1
Abstract
This is an announcement of some of the results obtained as a part of the second author's Ph.D. thesis. In the first part, we prove that the fundamental group of an acylindrical complex of hyperbolic groups with finite edge groups is hyperbolic in which the vertex groups are quasiconvex. In the second part of the article, we prove the existence of Cannon-Thurston maps for certain subcomplexes of groups in acylindrical complexes of hyperbolic groups (see Theorem 0.4).
Keywords
Cite
@article{arxiv.2107.04985,
title = {Research announcement: A combination theorem for acylindrical complexes of hyperbolic groups and Cannon-Thurston maps},
author = {Pranab Sardar and Ravi Tomar},
journal= {arXiv preprint arXiv:2107.04985},
year = {2021}
}
Comments
4 pages