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  • Print publication year: 2019
  • Online publication date: June 2019

8 - Immutability is not uniformly decidable in hyperbolic groups

from Part Three - Research Articles


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.