Self-dual modules in characteristic two and normal subgroups

DOI10.1016/j.jalgebra.2020.11.014zbMath1466.20009arXiv2007.02636OpenAlexW3109371306MaRDI QIDQ827028

Roderick Gow, John C. Murray

Publication date: 6 January 2021

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

Full work available at URL: https://arxiv.org/abs/2007.02636

zbMATH Keywords

Clifford theorycharacterBrauer characterself-dual modulereal block

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Uses Software

• GAP

Cites Work

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• Quadratic geometries, projective modules, and idempotents
• Characters of groups with quotients of odd order
• Block induction, normal subgroups and characters of height zero
• Real \(2\)-regular classes and \(2\)-blocks
• Methods to decide if simple self-dual modules over fields of characteristic \(2\) are of quadratic type
• The heights of irreducible Brauer characters in 2-blocks of the symmetric groups.
• Low-Dimensional Representations of Quasi-Simple Groups
• G-invariant quadratic forms.