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arXiv · 1703.05725

Immutability is not uniformly decidable in hyperbolic groups

Daniel Groves·Henry Wilton
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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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Daniel Groves, Henry Wilton. 2017-03-16. Immutability is not uniformly decidable in hyperbolic groups. https://arxiv.org/abs/1703.05725

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