A criterion for an element to belong to a given Sylow p-subgroup. I

DOI10.1016/0021-8693(90)90255-MzbMath0706.20019MaRDI QIDQ919096

Chat-Yin Ho, Helmut Voelklein

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupclassification of finite simple groupsSylow p-subgroupEngel identity

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05) Engel conditions (20F45)

Related Items (4)

Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. ⋮ Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups ⋮ Answer to a 1962 question by Zappa on cosets of Sylow subgroups ⋮ Subnormalizers in finite groups

Cites Work

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• Engelsche Elemente Noetherscher Gruppen
• The Rank 3 Permutation Representations of the Finite Classical Groups
• The local structure of finite groups of characteristic 2 type
• Endomorphisms of linear algebraic groups
• On the p-Elements of a Finite Group
• On conjugacy classes of p-elements

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