On the finite prime spectrum minimal groups

DOI10.1134/S0081543816090121zbMath1400.20016OpenAlexW2581271256MaRDI QIDQ2396377

Natal'ya Vladimirovna Maslova

Publication date: 8 June 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816090121

zbMATH Keywords

finite groupprime spectrummaximal subgroupcomposition factorgeneration by a pair of conjugate elementsprime spectrum minimal group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Uses Software

• ATLAS Group Representations

Cites Work

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• Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements.
• Transitive subgroups of primitive permutation groups
• Nonabelian composition factors of a finite group whose all maximal subgroups are Hall.
• On nonabelian composition factors of a finite prime spectrum minimal group.
• On finite simple groups of order divisible by three primes only
• Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
• Unsolved Problems in Group Theory. The Kourovka Notebook
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Finite groups whose maximal subgroups have the hall property
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I

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