On intersections of solvable Hall subgroups in finite simple exceptional groups of Lie type.

DOI10.1134/S0081543814050204zbMath1304.20030arXiv1303.0936OpenAlexW2594909548WikidataQ115248000 ScholiaQ115248000MaRDI QIDQ471013

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Publication date: 13 November 2014

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

Full work available at URL: https://arxiv.org/abs/1303.0936

zbMATH Keywords

finite groupsalmost simple groupsbase sizesconjugacy classes of Hall subgroupsintersections of Hall subgroupssolvable Hall subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Simple groups: alternating groups and groups of Lie type (20D06)

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Uses Software

• GAP

Cites Work

• On the number of classes of conjugate Hall subgroups in finite simple groups.
• On intersections of solvable Hall subgroups in finite nonsolvable groups.
• On the intersections of solvable Hall subgroups in finite groups.
• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• Intersections of abelian subgroups in finite groups
• Regular orbits of solvable linear \(p'\)-groups.
• Theorems of Sylow type
• Theorems Like Sylow's
• Base sizes for simple groups and a conjecture of Cameron
• Simple groups, permutation groups, and probability
• Large orbits in coprime actions of solvable groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]
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