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A periodicity theorem for acylindrically hyperbolic groups

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Abstract We generalize a well-known periodicity lemma from the case of free groups to the case of acylindrically hyperbolic groups. This generalization has been used to describe solutions of certain… Click to show full abstract

Abstract We generalize a well-known periodicity lemma from the case of free groups to the case of acylindrically hyperbolic groups. This generalization has been used to describe solutions of certain equations in acylindrically hyperbolic groups and to characterize verbally closed finitely generated acylindrically hyperbolic subgroups of finitely presented groups.

Keywords: periodicity theorem; acylindrically hyperbolic; theorem acylindrically; hyperbolic groups

Journal Title: Journal of Group Theory
Year Published: 2018

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