Automorphisms of Groups and a Higher Rank JSJ Decomposition II: The single ended case
Group Theory
2023-11-28 v2 Logic
Abstract
The JSJ decomposition encodes the automorphisms and the virtually cyclic splittings of a hyperbolic group. For general finitely presented groups, the JSJ decomposition encodes only their splittings. In this sequence of papers we study the automorphisms of a hierarchically hyperbolic group (HHG) that satisfies some weak acylindricity conditions. To study these automorphisms we construct an object that can be viewed as a higher rank JSJ decomposition. This higher rank decomposition encodes the dynamics of individual automorphisms and the structure of the outer automorphism group of an HHG.
Keywords
Cite
@article{arxiv.2209.12891,
title = {Automorphisms of Groups and a Higher Rank JSJ Decomposition II: The single ended case},
author = {Z. Sela},
journal= {arXiv preprint arXiv:2209.12891},
year = {2023}
}