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Showing 1 to 3 of 3 for “"relatively hyperbolic groups"”.
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Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups
… conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound …
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Generalizations of quasiconvexity for finitely generated groups
For a word-hyperbolic group G, the notion of quasiconvexity of a finitely generated subgroup H of G is independent of the choices of finite generating sets for G and H, and is equivalent to H being quasi- isometrically embedded in G. However, beyond word-hyperbolic groups, the notion of …
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Algorithmic and statistical properties of filling elements of a free group, and quantitative residual properties of gamma-limit groups
… ranks, we discuss two types of non-filling subgroups: those contained in loop vertex subgroups and those contained in segment vertex subgroups. We construct a combinatorial algorithm to determine whether or not a given finitely generated subgroup is contained in a segment vertex subgroup. We …