Realizability of representations of finite groups
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Publication:1109129
DOI10.1016/0022-4049(88)90036-9zbMath0655.20004OpenAlexW1974089718MaRDI QIDQ1109129
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
Frobenius groupsreal representationfinite reflection groups2-groupscomplex irreducible representationsClifford's theorySylow 2-groups of alternating groups
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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