Relative hyperbolicity of free extensions of free groups

Autor:	Ghosh, Pritam, Gültepe, Funda
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology 20F65 20Exx 20Fxx 57Mxx
Druh dokumentu:	Working Paper
Popis:	We give necessary and sufficient conditions for a free-by-free group to be relatively hyperbolic with a cusp-preserving structure. Namely, if $\phi_1, \ldots , \phi_k $ is a collection of exponentially growing outer automorphisms with a common invariant \emph{subgroup system} such that any conjugacy class in the complement of this system grows exponentially under iteration by all $\phi_i$, then such a subgroup system can be used to construct a collection of peripheral subgroups relative to which, the extension of $\mathbb F$ by the free group generated by sufficiently high powers of $\phi_1, \ldots , \phi_k $, will be hyperbolic. Comment: To increase readability, previous version arXiv:2307.09674v2 is divided into two parts. This first part contains the discussion and the result on relative hyperbolicity of free-by free groups
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.09674 Zobrazit plný text záznamu View this record from Arxiv