Any group is represented by an outerautomorphism group

DOI10.32917/hmj/1206129490zbMath0727.20029OpenAlexW1529616693WikidataQ128900036 ScholiaQ128900036MaRDI QIDQ803283

Takao Matumoto

Publication date: 1989

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206129490

zbMATH Keywords

Eilenberg-MacLane spaceHNN-extensiongraph of groupsfree homotopy classeshomotopy self-equivalencesouter automorphism group

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Representations of groups as automorphism groups of algebraic systems (20F29) Eilenberg-Mac Lane spaces (55P20)

Related Items (11)

The Bass-Jiang group for automorphism-induced HNN-extensions ⋮ Outer automorphisms of locally finite \(p\)-groups. ⋮ An ``almost full embedding of the category of graphs into the category of groups ⋮ On the outer automorphism groups of finitely generated, residually finite groups. ⋮ Automorphism groups of totally ordered sets: A retrospective survey ⋮ Automorphisms of groups ⋮ Every group is an outer automorphism group of a finitely generated group. ⋮ Automorphisms of Torsion-Free Nilpotent Groups of Class Two ⋮ Every group is the outer automorphism group of an HNN-extension of a fixed triangle group ⋮ Nondiscrete topological groups with many discrete subgroups ⋮ Examples of groups whose automorphisms have exotic growth

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