Odd character correspondences in solvable groups.

DOI10.1016/j.jalgebra.2006.02.042zbMath1140.20008OpenAlexW1981523910MaRDI QIDQ2474480

Alexandre Turull

Publication date: 6 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.02.042

zbMATH Keywords

finite groupsClifford theorynumbers of irreducible charactersBrauer groupssolvable groupsMcKay conjecturecharacter correspondencesSchur indicesfields of valuesrational characters

Mathematics Subject Classification ID

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

Related Items (4)

Sylow normalizers and irreducible characters with small cyclotomic field of values ⋮ Degree divisibility in character correspondences. ⋮ Certain monomial characters of \(p'\)-degree. ⋮ Correspondences Between 2-Brauer Characters of Solvable Groups

Cites Work

• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Prime characters and factorizations of quasi-primitive characters
• Primitive characters, normal subgroups, and M-groups
• Clifford theory with Schur indices
• Calculating Clifford classes for characters containing a linear character once.
• Real characters of \(p'\)-degree.
• Character correspondences in solvable groups.
• On the Schur Index of Quasi-Primitive Characters
• Characters of Solvable and Symplectic Groups
• Reduction theorems for Clifford classes
• Character correspondences in solvable groups

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