Lifts of Brauer characters in characteristic two

DOI10.1016/j.jalgebra.2023.05.048zbMath1525.20011arXiv2301.12408OpenAlexW4382363857MaRDI QIDQ6170748

Lei Wang, Ping Jin

Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2301.12408

zbMATH Keywords

liftBrauer characterNavarro vertextwisted vertexvertex pair

Mathematics Subject Classification ID

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

Cites Work

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• Navarro vertices and normal subgroups in groups of odd order.
• The number of lifts of a Brauer character with a normal vertex.
• A construction of two distinct canonical sets of lifts of Brauer characters of a \(p\)-solvable group.
• Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group.
• Vertices and normal subgroups in solvable groups.
• Problems on characters: solvable groups
• Vertices for characters of $p$-solvable groups
• Inductive pairs and lifts in solvable groups
• LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS
• Lifts and vertex pairs in solvable groups
• Vertices of π-Irreducible Characters of Groups of Odd Order
• Induction and Restriction of π-Special Characters
• Characters of Solvable Groups
• Inducing $\pi$-partial characters with a given vertex
• OBTAINING NUCLEI FROM CHAINS OF NORMAL SUBGROUPS
• The uniqueness of vertex pairs in π-separable groups

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