Non-soluble groups with few conjugacy classes of non-normal subgroups.

DOI10.1007/s13366-012-0087-5zbMath1284.20022OpenAlexW2009416823MaRDI QIDQ375915

Rolf Brandl

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0087-5

zbMATH Keywords

numbers of conjugacy classessolvabilityconjugacy classes of non-normal subgroupsfinite non-soluble groupsnumbers of non-normal subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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) Finite simple groups and their classification (20D05)

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A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups, On non-normal cyclic subgroups of prime order or order 4 of finite groups, Finite groups with few non-normal subgroups, On Solvability of Finite Groups with Few Non-Normal Subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the solvability of a finite group and the number of conjugate classes of its non-normal subgroups.
• Die Suzukigruppen und ihre Geometrien. Vorlesung Sommersemester 1965 in Mainz
• On finite simple groups of order divisible by three primes only
• The characterization of finite groups with abelian Sylow 2-subgroups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• On a class of doubly transitive groups