A converse to the Fong-Swan-Isaacs theorem

DOI10.1016/0021-8693(87)90255-9zbMath0635.20002OpenAlexW2043739839MaRDI QIDQ1097346

Gerhard Hiss

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90255-9

zbMATH Keywords

solvable groupabsolutely irreducible p-modular characterlifting charactersFong-Swan Theoremp- rational character

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items (8)

Autoequivalences of blocks and a conjecture of Zassenhaus ⋮ On Induced Projective Indecomposable Modules ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ Connectedness of degree graphs of nonsolvable groups. ⋮ On torsion free crystallographic groups ⋮ Quasi-projective and quasi-liftable characters. ⋮ Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\) ⋮ Galois structure of the holomorphic differentials of curves

Cites Work

• Possible Brauer trees
• Some uses of class algebra constants
• On Brauer stars
• Groups whose Brauer-characters are liftable
• Irreducible representations of finite groups of Lie type through block theory and special conjugacy classes
• Prime graph components of finite groups
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• Regular elements of finite reflection groups
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Involutions in Chevalley groups over fields of even order
• On Ree's Series of Simple Groups
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