On the largest Brauer and \(p^\prime\)-character degrees

DOI10.1016/j.jalgebra.2023.04.021zbMath1517.20016OpenAlexW4367311338MaRDI QIDQ6162842

Alexander Moretó

Publication date: 26 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.04.021

zbMATH Keywords

simple groupabelian subgroupBrauer character degreeirreducible character of \(p^\prime \)-degree

Mathematics Subject Classification ID

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

Cites Work

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• Large orbits of elements centralized by a Sylow subgroup.
• Orbit sizes, character degrees and Sylow subgroups.
• Kernels of \(p'\)-degree irreducible characters
• An analogue of Jordan's theorem in characteristic \(p\)
• Group rings satisfying a polynomial identity
• Finite subgroups of algebraic groups
• The largest Irreducible Character Degree of a Finite Group
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Character Theory and the McKay Conjecture
• Groups with Representations of Bounded Degree
• Endliche Gruppen I
• Groups with Modular Irreducible Representations of Bounded Degree

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