On Solvability of Finite Groups with Few Non-Normal Subgroups

DOI10.1080/00927872.2013.879160zbMath1331.20031OpenAlexW1992956732MaRDI QIDQ5256698

Jiakuan Lu, Wei Meng

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.879160

zbMATH Keywords

finite groupssolvabilityconjugacy classes of subgroupssolvable groupsnon-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)

Related Items (4)

On some results in the theory of finite partially soluble groups ⋮ A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups ⋮ Finite non-nilpotent groups with few non-normal non-cyclic subgroups ⋮ On finite groups with non-subnormal subgroups

Cites Work

• Non-soluble groups with few conjugacy classes of non-normal subgroups.
• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• On the groups of cube-free order.
• On finite groups with few non-normal subgroups
• Groups with few non-normal subgroups
• Endliche Gruppen I

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