Asymptotically rigid mapping class groups II: strand diagrams and nonpositive curvature
Group Theory
2024-06-21 v2 Geometric Topology
Abstract
In this article, we introduce a new family of groups, called Chambord groups and constructed from braided strand diagrams associated to specific semigroup presentations. It includes the asymptotically rigid mapping class groups previously studied by the authors such as the braided Higman-Thompson groups and the braided Houghton groups. Our main result shows that polycyclic subgroups in Chambord groups are virtually abelian and undistorted.
Keywords
Cite
@article{arxiv.2110.06721,
title = {Asymptotically rigid mapping class groups II: strand diagrams and nonpositive curvature},
author = {Anthony Genevois and Anne Lonjou and Christian Urech},
journal= {arXiv preprint arXiv:2110.06721},
year = {2024}
}
Comments
47 pages, 23 figures. Minor revisions. Accepted for publication in Transactions of the AMS