The number of lifts of a Brauer character with a normal vertex.

DOI10.1016/J.JALGEBRA.2010.07.044zbMath1238.20011OpenAlexW1989969483MaRDI QIDQ536195

Mark L. Lewis, James P. Cossey, Gabriel Navarro

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.07.044

zbMATH Keywords

irreducible Brauer charactersfinite \(p\)-solvable groupscharacter lifts

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items (4)

The uniqueness of vertex pairs in π-separable groups ⋮ Lifts of Brauer characters in characteristic two ⋮ Induction and restriction of characters and Hall subgroups. ⋮ Lifts and vertex pairs in solvable groups

Cites Work

• Modularly irreducible characters and normal subgroups.
• Character theory of finite groups
• Actions and characters in blocks.
• Weights and vertices for characters of \(\pi\)-separable groups
• Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group.
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