On the minimum length of the chief series of finite, complete, solvable groups of odd order

DOI10.1016/0021-8693(84)90171-6zbMath0545.20012OpenAlexW2028208321MaRDI QIDQ797682

Brigitte Schuhmann

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90171-6

zbMATH Keywords

complete groups of odd orderlength of chief series

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

Minimal non-nilpotent groups as automorphism groups ⋮ Minimal odd order automorphism groups

Cites Work

• Unnamed Item
• Some finite solvable groups with no outer automorphisms
• Complete groups of odd order
• Finite metabelian groups with no outer automorphisms
• A complete group of odd order
• Lie Representations and Groups of Prime Power Order

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