LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS

DOI10.1017/S1446788710001540zbMath1248.20009MaRDI QIDQ3008148

James P. Cossey, Mark L. Lewis

Publication date: 14 June 2011

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

zbMATH Keywords

cyclic defect groupsBrauer characters\(\pi\)-blocks\(\pi\)-separable groupssolvable groupsGlauberman correspondencerepresentations of finite groupsBrauer graphsirreducible \(\pi\)-partial characterscharacter lifts

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items (2)

Lifts of Brauer characters in characteristic two ⋮ Bounding the Diameter of the Brauer Graph of a Block of a Solvable Group

Cites Work

• Groups which have a faithful representation of degree less than \((p-1)/2\)
• The extension of the first main theorem for \(\pi\)-blocks.
• Fong characters in \(\pi\)-separable groups
• pi-blocks of pi-separable groups. I
• A characteristic class of characters of finite \(\pi\)-separable groups
• On modular representations of p-solvable groups
• pi-blocks of pi-separable groups. II
• 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 and normal subgroups in solvable groups.
• Above the Glauberman correspondence.
• Blocks and Simple Modules with Cyclic Vertices

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