Conformal dimension of hyperbolic groups that split over elementary subgroups
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DOI: 10.1007/s00222-021-01074-w
Abstract: We study the (Ahlfors regular) conformal dimension of the boundary at infinity of Gromov hyperbolic groups which split over elementary subgroups. If such a group is not virtually free, we show that the conformal dimension… read more here.
Keywords: split elementary; dimension; groups split; conformal dimension ... See more keywords
Knapsack in hyperbolic groups
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DOI: 10.1016/j.jalgebra.2019.04.008
Abstract: Abstract Recently knapsack problems have been generalized from the integers to arbitrary finitely generated groups. The knapsack problem for a finitely generated group G is the following decision problem: given a tuple ( g ,… read more here.
Keywords: hyperbolic group; knapsack problem; knapsack; group ... See more keywords
A periodicity theorem for acylindrically hyperbolic groups
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DOI: 10.1515/jgth-2020-0032
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… read more here.
Keywords: periodicity theorem; acylindrically hyperbolic; theorem acylindrically; hyperbolic groups ... See more keywords