Real Brauer characters

DOI10.1016/j.jpaa.2021.106769zbMath1479.20013OpenAlexW3152813118MaRDI QIDQ2040520

Hung P. Tong-Viet

Publication date: 14 July 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106769

zbMATH Keywords

real Brauer characters

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Modular representations and characters (20C20)

Uses Software

• GAP

Cites Work

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• Solvable groups having only three rational classes of 2-elements.
• Groups with two real Brauer characters.
• On the orders of real elements of solvable groups
• Groups with three real valued irreducible characters.
• Primes dividing the degrees of the real characters.
• On finite groups with exactly two real conjugate classes
• The finite groups with no real \(p\)-elements.
• On the number of irreducible real-valued characters of a finite group
• Orders of real elements in finite groups
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• Real class sizes and real character degrees
• The classification of the finite simple groups

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