Conjugacy in elementary Abelian subgroups of finite groups

DOI10.1016/0021-8693(79)90170-4zbMath0412.20018OpenAlexW2006348063MaRDI QIDQ1260177

David Rodney

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90170-4

zbMATH Keywords

normal Hall subgroupnormal Sylow p-subgroupelementary abelian p-subgroupnonprincipal irreducible character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

Cites Work

• On a class of finite simple groups of Ree
• A characterization of groups in terms of the degrees of their characters. II
• The characterization of finite groups with abelian Sylow 2-subgroups
• Groups whose irreducible representations have degrees dividing \(p_ e\)
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• Maximal Abelian Subgroups of the Symmetric Groups
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