scientific article; zbMATH DE number 1899893
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Publication:4802809
zbMath1016.20011MaRDI QIDQ4802809
Danila Olegovitch Revin, Evgeny P. Vdovin
Publication date: 23 April 2003
Full work available at URL: https://eudml.org/doc/187999
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Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Simple groups: alternating groups and groups of Lie type (20D06)
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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 the heritability of the Sylow -theorem by subgroups ⋮ On intersections of solvable Hall subgroups in finite simple exceptional groups of Lie type. ⋮ On a relation between the Sylow and Baer-Suzuki theorems. ⋮ On Baer-Suzuki \(\pi\)-theorems. ⋮ A criterion for the existence of a solvable π-Hall subgroup in a finite group ⋮ Formations of finite $C_\pi $-groups ⋮ Confirmation for Wielandt's conjecture. ⋮ On the finite groups whose Sylow \(3\)-subgroup normalizes a Sylow \(3'\)-subgroup.
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