On subgroups containing non-trivial normal subgroups.

DOI10.1007/BF02785961zbMath1128.20305OpenAlexW2026023808MaRDI QIDQ2382232

Andrea Lucchini, Marcel Herzog, Gil Kaplan

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785961

zbMATH Keywords

normal subgroupscentralizersindicestransitive permutation groupscharacteristic subgroupsorders of elementssubgroups of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Multiply transitive finite groups (20B20)

Related Items (1)

On nilpotent subgroups containing non-trivial normal subgroups

Cites Work

• Character theory of finite groups
• On the order of transitive permutation groups with cyclic point-stabilizer
• Large cyclic subgroups contain non-trivial normal subgroups
• Abelian point stabilizers in transitive permutation groups

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