The Automorphism Tower Problem

DOI10.2307/2044505zbMath0575.20030OpenAlexW4254344098MaRDI QIDQ3695462

Simon Thomas

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044505

zbMATH Keywords

automorphism towergroups with trivial centre

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Large cardinals (03E55) Automorphism groups of groups (20F28)

Related Items (10)

Diffuse invariant random subgroups ⋮ The symmetries of the outer space of a universal Coxeter group ⋮ Iteratively changing the heights of automorphism towers ⋮ Changing the heights of automorphism towers ⋮ The automorphism tower problem revisited ⋮ The automorphism tower of groups acting on rooted trees ⋮ Automorphisms of groups ⋮ The automorphism group of the universal Coxeter group ⋮ The automorphism tower problem. II ⋮ The automorphism tower of a centerless group without choice

Cites Work

• Automorphism towers of polycyclic groups
• Automorphism towers of extremal groups
• Eine Verallgemeinerung der invarianten Untergruppen
• A Theory of Subinvariant Lie Algebras

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