Hereditary conjugacy separability of right-angled Artin groups and its applications.

DOI10.4171/GGD/160zbMath1280.20040arXiv0905.1282MaRDI QIDQ426208

Ashot Minasyan

Publication date: 11 June 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1282

zbMATH Keywords

subgroups of finite indexHNN extensionsouter automorphism groupsconjugacy problemright-angled Artin groupspartially commutative groupshereditary conjugacy separable groupsBestvina-Brady groupsgraph groupsword hyperbolic Coxeter groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

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Cites Work

• Unnamed Item
• Every group is an outer automorphism group of a finitely generated group.
• Morse theory and finiteness properties of groups
• An introduction to right-angled Artin groups.
• Finite index subgroups of conjugacy separable groups
• Structure and finiteness properties of subdirect products of groups
• Semihyperbolic Groups
• Reflection triangles in Coxeter groups and biautomaticity
• Automorphism Groups of Residually Finite Groups
• LIMIT GROUPS ARE CONJUGACY SEPARABLE
• Automorphisms of Coxeter groups