A character-theoretic criterion for the existence of normal complements to subgroups of finite groups

DOI10.1016/0021-8693(85)90191-7zbMath0594.20007OpenAlexW2029442616MaRDI QIDQ1076796

John F. Humphreys, Trevor Hawkes

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90191-7

zbMATH Keywords

saturated formationnormal complementfinite soluble groupirreducible complex characterCR property

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

On the structure of a group whose orbits on a finite module are the orbits of a proper subgroup ⋮ Character restriction and relative normal complements ⋮ Some questions on quasinilpotent groups and related classes. ⋮ Subgroups with the character restriction property

Cites Work

• Existence of normal complements and extension of characters in finite groups
• On the structure of a group whose orbits on a finite module are the orbits of a proper subgroup
• The \(\mathfrak F\)-normalizers of a finite soluble group
• A Character-Theoretic Complementation Theorem for Carter Subgroups
• Endliche Gruppen I
• Unnamed Item

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