scientific article; zbMATH DE number 2167518
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Publication:4677702
zbMath1067.20022MaRDI QIDQ4677702
Publication date: 12 May 2005
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Hall subgroupssporadic groupsalternating groupscomposition factorssimple groups of Lie type\(D_\pi \)-groups
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (14)
The reduction theorem for relatively maximal subgroups ⋮ Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups ⋮ On the pronormality of Hall subgroups. ⋮ On the class of groups with pronormal Hall \(\pi\)-subgroups. ⋮ 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. ⋮ On a relation between the Sylow and Baer-Suzuki theorems. ⋮ Finite groups with biprimary Hall subgroups. ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Pronormality of Hall subgroups in finite simple groups. ⋮ On Baer-Suzuki \(\pi\)-theorems. ⋮ Frattini argument for Hall subgroups. ⋮ Formations of finite $C_\pi $-groups ⋮ Confirmation for Wielandt's conjecture.
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