Lifts and vertex pairs in solvable groups

DOI10.1017/S001309151000129XzbMath1251.20014arXiv1010.2380OpenAlexW1983980325MaRDI QIDQ3116823

James P. Cossey, Mark L. Lewis

Publication date: 12 February 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2380

zbMATH Keywords

conjugacy classesBrauer charactersrepresentations of finite groupsClifford correspondenceFong-Swan theoremvertex pairscharacter tripleslifts of characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items (4)

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

Cites Work

• Unnamed Item
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• Weights and vertices for characters of \(\pi\)-separable groups
• Characters and Hall subgroups of groups of odd order
• Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group.
• Vertices and normal subgroups in solvable groups.
• Vertices for characters of $p$-solvable groups
• Vertices of π-Irreducible Characters of Groups of Odd Order
• Induction and Restriction of π-Special Characters

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