The conjugacy problem for relatively hyperbolic groups.

DOI10.2140/agt.2004.4.1013zbMath1111.20035arXivmath/0308171OpenAlexW2093981152MaRDI QIDQ1766289

Inna Bumagin

Publication date: 28 February 2005

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308171

zbMATH Keywords

conjugacy problemrelatively hyperbolic groupsfinite volume hyperbolic manifolds

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Non-Euclidean differential geometry (53A35)

Related Items

A combination theorem for affine tree-free groups, Elementary theory of free non-abelian groups., Permute and conjugate: the conjugacy problem in relatively hyperbolic groups, The isomorphism problem for finitely generated fully residually free groups., Time complexity of the conjugacy problem in relatively hyperbolic groups, Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator., Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity., Complex hyperbolic hyperplane complements, Deciding isomorphy using Dehn fillings, the splitting case, Detecting geometric splittings in finitely presented groups, ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS, Finite generating sets of relatively hyperbolic groups and applications to geodesic languages, THE LINEARITY OF THE CONJUGACY PROBLEM IN WORD-HYPERBOLIC GROUPS, The isomorphism problem for toral relatively hyperbolic groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The combinatorial structure of cocompact discrete hyperbolic groups
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Boundaries of geometrically finite groups
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• Combination of convergence groups.
• Geometry of the complex of curves. I: Hyperbolicity
• Examples of relatively hyperbolic groups.
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Nonpositively curved 2-complexes with isolated flats.
• Peripheral splittings of groups
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• The Conjugacy Problem and Subgroups of Finite Index
• Connectedness properties of limit sets
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
• A topological characterisation of relatively hyperbolic groups
• Novikov Conjectures and Relative Hyperbolicity
• EXTENSION OF GROUP PRESENTATIONS AND RELATIVE SMALL CANCELLATION THEORY I
• A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS
• On the decidability of some problems in special classes of groups
• Residually Free Groups
• Relatively hyperbolic groups
• Relatively hyperbolic groups
• Relative hyperbolicity and Artin groups.