Navarro vertices and lifts in solvable groups

DOI10.1080/00927872.2023.2224883arXiv2302.09698OpenAlexW4381887697MaRDI QIDQ6060312

Lei Wang, Ping Jin

Publication date: 3 November 2023

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

Full work available at URL: https://arxiv.org/abs/2302.09698

zbMATH Keywords

Brauer charactersliftslinear charactersNavarro vertices\(\pi\)-partial characters

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.
• Characters of \(\pi\)-separable groups
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• Modularly irreducible characters and normal subgroups.
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• A new character correspondence in groups of odd order.
• Vertices for irreducible characters of a class of blocks.
• Actions and characters in blocks.
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• 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
• Inductive pairs and lifts in solvable groups
• Lifts and vertex pairs in solvable groups
• Vertices of π-Irreducible Characters of Groups of Odd Order
• Defect of characters and local subgroups in p-solvable groups
• Characters of Solvable Groups
• Characters of \(p'\)-degree of \(p\)-solvable groups
• The uniqueness of vertex pairs in π-separable groups

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