Odd order Hall subgroups of \(GL(n,q)\) and \(Sp(2n,q)\)

DOI10.1007/BF01161703zbMath0548.20013MaRDI QIDQ799795

Fletcher Gross

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173482

zbMATH Keywords

Hall subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (9)

Odd order Hall subgroups of the classical linear groups ⋮ Nonabelian composition factors of a finite group whose all maximal subgroups are Hall. ⋮ On the heritability of the Sylow -theorem by subgroups ⋮ On the heritability of the property \(D_\pi\) by subgroups. ⋮ The \(D_\pi\)-property on products of \(\pi\)-decomposable groups ⋮ Conjugacy of Hall subgroups ⋮ On the coincidence of the classes of finite groups \(E_{\pi_x}\) and \(D_{\pi_x} \) ⋮ On a relation between the Sylow and Baer-Suzuki theorems. ⋮ Hall subgroups of order not divisible by 3

Cites Work

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• New criteria for the solvability of finite groups
• Solvability of groups of odd order
• Hall subgroups of certain families of finite groups
• Zum Satz von Sylow
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Theorems Like Sylow's
• On a Conjecture of Philip Hall
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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