The Frobenius-Schur indicator and projective modules

DOI10.1016/0021-8693(89)90331-1zbMath0742.20013OpenAlexW1988199379MaRDI QIDQ1812718

Geoffrey R. Robinson

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90331-1

zbMATH Keywords

Frobenius-Schur indicatorreal representationinvolutionscentralizerfinite grouppermutation characterclass functionstrongly embedded subgroupirreducible complex character2-blockextended defect groupprojective indecomposable \(RG\)-moduleprojective summands of permutation modules

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)

Related Items (11)

Projective indecomposable modules, Scott modules and the Frobenius-Schur indicator. ⋮ ON HIGHER FROBENIUS–SCHUR INDICATORS ⋮ On the involution module of \(\mathrm{GL}_n(2^f)\). ⋮ Counting real characters after Gallagher ⋮ Characters, bilinear forms and solvable groups ⋮ Projective modules and involutions. ⋮ Real subpairs and Frobenius-Schur indicators of characters in 2-blocks. ⋮ Real ordinary characters and real Brauer characters ⋮ Blocks of defect zero and products of elements of order \(p\) ⋮ The involution module of \(\mathrm{PSU}_3(2^{2f})\). ⋮ The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group

Cites Work

• Bilinear forms on G-algebras
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• Virtually Irreducible Lattices

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