Some finite solvable groups with no outer automorphisms

DOI10.1016/0021-8693(80)90239-2zbMath0436.20014OpenAlexW2015660300MaRDI QIDQ1140716

Terence M. Gagen

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90239-2

zbMATH Keywords

outer automorphismscomplete groupsAbelian-by-nilpotent finite groupsCarter subgroups of GL(n,q)homocyclic p-groupnilpotent self-normalising subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items

On Lie algebras with only inner derivations ⋮ On finite complete groups ⋮ Infinite soluble groups with no outer automorphisms ⋮ Finite complete groups ⋮ Finite groups ⋮ Complete finite semidirect products and wreath products. ⋮ On the minimum length of the chief series of finite, complete, solvable groups of odd order ⋮ The subnormal embedding of complete groups

Cites Work

• Unnamed Item
• Complete groups of odd order
• Finite metabelian groups with no outer automorphisms
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• The Sylow 2-subgroups of the finite classical groups
• A complete group of odd order
• Endliche Gruppen I
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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