On the other pαqβ theorem of Burnside

DOI10.1017/S0013091500017946zbMath0589.20010OpenAlexW2328375626MaRDI QIDQ3717270

Arie Bialostocki

Publication date: 1987

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017946

zbMATH Keywords

p-Sylow subgrouporders of nilpotent subgroupsproduct of nilpotent groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Products of subgroups of abstract finite groups (20D40)

Cites Work

• On products of two nilpotent subgroups of a finite group
• Orders of Sylow subgroups of the general linear group
• On Burnside's other \(p^a q^b\) theorem
• The Sylow 2-subgroups of the finite classical groups
• The Nilpotency Class Of The p-Sylow Subgroups of GL(n, q) Where (p, q) = 1
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• A Note on Burnside's Other p ^α q ^β Theorem
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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