Finite groups in which the normalizers of pairwise intersections of Sylow 2-subgroups have odd indices.

DOI10.1134/S0081543807060119zbMath1238.20017OpenAlexW1975313204MaRDI QIDQ764713

D. Kharzeev

Publication date: 14 March 2012

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

Full work available at URL: https://doi.org/10.1134/s0081543807060119

zbMATH Keywords

finite groupsintersections of Sylow subgroupsnormalizers of odd indexsemisimple IN-groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Finite groups with normal intersections of Sylow 2-subgroups
• Finite groups with a Sylow 2-subgroup of type M\(_{24}\). I, II
• On finite groups with Sylow 2-subgroups of type \(A_n\), \(n=8,9,10,11\)
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• The Local Maximal Subgroups of Exceptional Groups of Lie Type, Finite and Algebraic
• The local structure of finite groups of characteristic 2 type
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd

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