Hall subgroups of order not divisible by 3

DOI10.1216/rmjm/1181072577zbMath0822.20021OpenAlexW1972675442MaRDI QIDQ1316349

Fletcher Gross

Publication date: 5 October 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072577

zbMATH Keywords

finite groupssimple groupsSylow towersHall \(\pi\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Hall Graph of a Finite Group ⋮ The reduction theorem for relatively maximal subgroups ⋮ Odd order Hall subgroups of the classical linear 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. ⋮ Nonabelian composition factors of a finite group with arithmetic constraints on nonsolvable maximal subgroups. ⋮ Computing Hall subgroups of finite groups ⋮ Finite simple groups with Hall \(\{2, r\}\)-subgroups, \(r \in \pi(G)\setminus\{2 , t\}\), \(t \in \pi (G)\) ⋮ Confirmation for Wielandt's conjecture.

Cites Work

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