Realizability of representations of finite groups

DOI10.1016/0022-4049(88)90036-9zbMath0655.20004OpenAlexW1974089718MaRDI QIDQ1109129

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90036-9

zbMATH Keywords

Frobenius groupsreal representationfinite reflection groups2-groupscomplex irreducible representationsClifford's theorySylow 2-groups of alternating groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups ⋮ Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups ⋮ Involution models of finite Coxeter groups ⋮ Involutions acting on representations. ⋮ Representations of some Hopf algebras associated to the symmetric group \(S_n\). ⋮ Les 2-Groupes Spéciaux Totalement Orthogonaux ⋮ Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups

Cites Work

• The computations of some Schur indices
• Real-valued and 2-rational group characters
• On orthogonal and orthonormal characters
• Real-valued characters and the Schur index
• The Schur indices of the reflection group \({\mathcal I}_4\)
• Finite groups in which every element is conjugate to its inverse
• Real representations of split metacyclic groups
• ON BLOCKS OF REPRESENTATIONS OF FINITE GROUPS
• Endliche Gruppen I
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