ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS
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Publication:3151068
DOI10.1112/S0024610701002484zbMath1015.20027MaRDI QIDQ3151068
Rüdiger Göbel, Michèle Giraudet, Manfred Droste
Publication date: 22 October 2002
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
outer automorphism groupssimple groupsinfinite permutation groupshomogeneous chainshomogeneous circles
Simple groups (20E32) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29) Ordered groups (06F15) Multiply transitive infinite groups (20B22)
Related Items (10)
The Bass-Jiang group for automorphism-induced HNN-extensions ⋮ Outer automorphisms of locally finite \(p\)-groups. ⋮ On the outer automorphism groups of finitely generated, residually finite groups. ⋮ Unnamed Item ⋮ Automorphism groups of totally ordered sets: A retrospective survey ⋮ Recovering ordered structures from quotients of their automorphism groups ⋮ Every group is an outer automorphism group of a finitely generated group. ⋮ Normal automorphisms of relatively hyperbolic groups ⋮ On localizations of quasi-simple groups with given countable center ⋮ Every group is the outer automorphism group of an HNN-extension of a fixed triangle group
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