Finite groups with arithmetic restrictions on maximal subgroups.

DOI10.1007/S10469-015-9324-YzbMath1323.20024OpenAlexW2004709959MaRDI QIDQ498297

Natal'ya Vladimirovna Maslova

Publication date: 28 September 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-015-9324-y

zbMATH Keywords

finite groupsmaximal subgroupscomposition factorschief factorsorders of elementsdegrees of irreducible representationsorders of subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (1)

Nonsolvable finite groups whose all nonsolvable superlocals are Hall subgroups

Cites Work

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• Recognizability of alternating groups by spectrum.
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• Transitive subgroups of primitive permutation groups
• Nonabelian composition factors of a finite group whose all maximal subgroups are Hall.
• Finite \(\pi\)-solvable groups whose maximal subgroups have the Hall property.
• Finite simple groups that are not spectrum critical
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Boundedly generated subgroups of finite groups
• Finite groups whose maximal subgroups have the hall property
• ON THE PRIME GRAPH OF SIMPLE GROUPS

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