Representation groups for the Schur index
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Publication:1061832
DOI10.1016/0021-8693(85)90076-6zbMath0571.20005OpenAlexW2012195912MaRDI QIDQ1061832
Publication date: 1985
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(85)90076-6
cohomologygroup algebrafinite groupBrauer groupgroup extensionSchur indexirreducible complex charactercentral simple component
Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)
Related Items (7)
Representation groups of characters ⋮ Clifford theory of simple modules ⋮ On the calculation of local invariants of irreducible characters ⋮ Schur indices and commutators in supersolvable groups ⋮ Schur indices and Abelian defect groups. ⋮ An algorithm for computing Schur indices of characters ⋮ Characters, Brauer characters, and local Brauer groups
Cites Work
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- Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
- On Schur's index and the solutions of \(G^ n=1\) in a finite group
- Real-valued and 2-rational group characters
- Schur indices in finite groups
- Opérations d'Adams en théorie des représentations linéaires des groupes finis
- Über die Berechnung der Schurschen Indizes von Charakteren endlicher Gruppen
- Blocks of modular representations
- The Schur subgroup. I
- The Schur subgroup. II
- Some Properties of Characters of Finite Groups
- Some Results on the Schur Index of a Representation of a Finite Group
- Endliche Gruppen I
- Schur Indices and Sums of Squares
- Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
- The Schur subgroup of the Brauer group
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