The Brauer-Clifford group.
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Publication:837019
DOI10.1016/j.jalgebra.2009.02.019zbMath1186.20011OpenAlexW2005019053MaRDI QIDQ837019
Publication date: 10 September 2009
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.02.019
finite groupsClifford theoryBrauer groupsrepresentationscentral simple algebrasSchur indicesBrauer-Clifford groupsClifford classes
Related Items (16)
Certain irreducible characters over a normal subgroup ⋮ On Clifford theory with Galois action ⋮ Brauer-Clifford equivalence of full matrix algebras. ⋮ On the Harris-Knörr correspondence in \(p\)-solvable groups. ⋮ Degree divisibility in Alperin-McKay correspondences ⋮ The Brauer-Clifford group for \((S,H)\)-Azumaya algebras over a commutative ring. ⋮ Clifford theory and endoisomorphisms. ⋮ A reduction theorem for the Galois–McKay conjecture ⋮ The Brauer-Clifford group and rational forms of finite groups. ⋮ The Brauer-Clifford group of \(G\)-rings. ⋮ Unnamed Item ⋮ Corestriction for algebras with group action. ⋮ The Schur-Clifford subgroup of the Brauer-Clifford group ⋮ Character triple conjecture for \(p\)-solvable groups ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings ⋮ Invariants for equivalence of central simple \(G\)-algebras.
Cites Work
- Strengthening the McKay conjecture to include local fields and local Schur indices.
- Clifford theory with Schur indices
- Some invariants for equivalent \(G\)-algebras
- Calculating Clifford classes for characters containing a linear character once.
- Clifford classes for some overgroups of the special linear groups.
- Using \(G\)-algebras for Schur index computation
- Character correspondences in solvable groups.
- CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS
- Reduction theorems for Clifford classes
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