From local to global conjugacy of subgroups of relatively hyperbolic groups

DOI10.1142/S021819671750014XzbMath1368.20054arXiv1605.01795OpenAlexW2963604443MaRDI QIDQ5269895

Kai-Uwe Bux, O. V. Bogopol'skij

Publication date: 28 June 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01795

zbMATH Keywords

limit groupssubgroup conjugacy separabilityrelatively hyperbolic groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (4)

Conjugacy distinguished subgroups. ⋮ Separability and randomness in free groups ⋮ Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups ⋮ Equations in acylindrically hyperbolic groups and verbal closedness

Cites Work

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• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Combination of convergence groups.
• Limit groups as limits of free groups.
• Hall's theorem for limit groups.
• The SQ-universality and residual properties of relatively hyperbolic groups.
• ON ENDOMORPHISMS OF TORSION-FREE HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Dehn fillings and elementary splittings
• SOME PROPERTIES OF SUBSETS OF HYPERBOLIC GROUPS
• A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Groups Covered By Permutable Subsets

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