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Genericity of contracting geodesics in groups

Published 3 Aug 2023 in math.GT, math.DS, and math.GR | (2308.01877v1)

Abstract: Let G be a finitely generated group and Cay(G, S) be the Cayley graph of G with respect to a finite generating set S. We characterize the Gromov hyperbolicity of G in terms of the genericity of contracting elements in Cay(G, S).

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