Immutability is not uniformly decidable in hyperbolic groups
Group Theory
2017-03-17 v1
Abstract
A finitely generated subgroup H of a torsion-free hyperbolic group G is called immutable if there are only finitely many conjugacy classes of injections of H into G. We show that there is no uniform algorithm to recognize immutability, answering a uniform version of a question asked by the authors.
Cite
@article{arxiv.1703.05725,
title = {Immutability is not uniformly decidable in hyperbolic groups},
author = {Daniel Groves and Henry Wilton},
journal= {arXiv preprint arXiv:1703.05725},
year = {2017}
}
Comments
5 pages