Hall \(\pi\)-subgroups of finite Chevalley groups whose characteristic belongs to \(\pi\)

zbMath0943.20018MaRDI QIDQ1975820

Danila Olegovitch Revin

Publication date: 4 May 2000

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

parabolic subgroupsclassical groupscyclotomic polynomialsgroups of Lie typeChevalley groupsHall \(\pi\)-subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

The reduction theorem for relatively maximal subgroups ⋮ A conjugacy criterion for Hall subgroups in finite groups. ⋮ Nonabelian composition factors of a finite group whose all maximal subgroups are Hall. ⋮ On the number of classes of conjugate Hall subgroups in finite simple groups. ⋮ Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup. ⋮ On a relation between the Sylow and Baer-Suzuki theorems. ⋮ The existence of pronormal \(\pi\)-Hall subgroups in \(E_\pi\)-groups. ⋮ Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups ⋮ Pronormality of Hall subgroups in finite simple groups. ⋮ On Baer-Suzuki \(\pi\)-theorems.

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