Odd order Hall subgroups of the classical linear groups

DOI10.1007/BF02572618zbMath0852.20014MaRDI QIDQ1909551

Fletcher Gross

Publication date: 8 December 1996

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

Full work available at URL: https://eudml.org/doc/174813

zbMATH Keywords

symplectic groupsorthogonal groupsunitary groupsHall \(\pi\)-subgroupsfinite classical linear groups

Mathematics Subject Classification ID

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

Related Items (10)

The reduction theorem for relatively maximal 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 ⋮ A characterization of finite \(D_\pi\)-groups. ⋮ Computing Hall subgroups of finite groups ⋮ Small intersections of principal blocks ⋮ A criterion for the existence of a solvable π-Hall subgroup in a finite group ⋮ The \(D_\pi\) property of finite groups in the case \(2\notin\pi\). ⋮ Confirmation for Wielandt's conjecture.

Cites Work

• Unnamed Item
• Odd order Hall subgroups of \(GL(n,q)\) and \(Sp(2n,q)\)
• Existence of Hall subgroups and embedding of \(\pi\)-subgroups into Hall subgroups
• Hall subgroups of order not divisible by 3
• Solvability of groups of odd order
• Hall subgroups of certain families of finite groups
• The non-solvable Hall subgroups of the general linear-group
• Maximal \(\pi\)-subgroups of the symmetric groups
• Zum Satz von Sylow
• Theorems Like Sylow's
• Conjugacy of Odd order Hall Subgroups
• On a Conjecture of Philip Hall
• Large Abelian Subgroups of p-Groups
• A Characteristic Subgroup of a p-Stable Group
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

This page was built for publication: Odd order Hall subgroups of the classical linear groups