Inductive pairs and lifts in solvable groups

DOI10.1515/JGT.2010.045zbMath1230.20009MaRDI QIDQ3007958

James P. Cossey, Mark L. Lewis

Publication date: 17 June 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsirreducible charactersverticescharacter lifts\(\pi\)-partial charactersinductive pairs

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 (3)

The uniqueness of vertex pairs in π-separable groups ⋮ Navarro vertices and lifts in solvable groups ⋮ Lifts of Brauer characters in characteristic two

Cites Work

• Characters of \(\pi\)-separable groups
• A characteristic class of characters of finite \(\pi\)-separable groups
• New properties of the \(\pi\)-special characters
• 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
• Vertices of π-Irreducible Characters of Groups of Odd Order
• OBTAINING NUCLEI FROM CHAINS OF NORMAL SUBGROUPS

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