Immutability is not uniformly decidable in hyperbolic groups

2017/03/16 by Groves, Daniel, Wilton, Henry
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1703.05725

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.

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