Virtually splitting the map from $\operatorname {Aut}(G)$ to $\operatorname {Out}(G)$

DOI10.1090/S0002-9939-2014-12278-7zbMath1327.20040arXiv1301.4446OpenAlexW2764553087MaRDI QIDQ5496297

Mathieu Carette

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4446

zbMATH Keywords

Coxeter groupsouter automorphism groupsresidual finitenessvirtually splitting epimorphisms

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

Related Items (3)

Free representations of outer automorphism groups of free products via characteristic abelian coverings ⋮ Outer automorphism groups of graph products: subgroups and quotients ⋮ The outer automorphism groups of two-generator, one-relator groups with torsion

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