Vertices of π-Irreducible Characters of Groups of Odd Order

DOI10.1080/00927870802174199zbMath1196.20012OpenAlexW2112874210MaRDI QIDQ3548567

James P. Cossey

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802174199

zbMATH Keywords

\(\pi\)-special charactersirreducible Brauer characters\(p\)-regular elementsfinite \(p\)-solvable groupsNavarro verticescharacter lifts

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items (6)

The uniqueness of vertex pairs in π-separable groups ⋮ Navarro vertices and lifts in solvable groups ⋮ Lifts of Brauer characters in characteristic two ⋮ Lifts of partial characters with respect to a chain of normal subgroups. ⋮ Inductive pairs and lifts in solvable groups ⋮ Lifts and vertex pairs in solvable groups

Cites Work

• Characters of \(\pi\)-separable groups
• A construction of two distinct canonical sets of lifts of Brauer characters of a \(p\)-solvable group.
• A characteristic class of characters of finite \(\pi\)-separable groups
• Weights and vertices for characters of \(\pi\)-separable groups
• Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group.
• Vertices for characters of $p$-solvable groups
• Induction and Restriction of π-Special Characters

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