Clifford classes for some overgroups of the special linear groups.

DOI10.1016/S0021-8693(02)00524-0zbMath1058.20038MaRDI QIDQ1858265

Alexandre Turull

Publication date: 12 February 2003

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

zbMATH Keywords

Clifford theoryBrauer groupsrepresentationsirreducible complex charactersSchur indicesfinite special linear groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05)

Related Items

The Brauer-Clifford group., Strengthening the McKay conjecture to include local fields and local Schur indices., Reduction theorems for Clifford classes

Cites Work

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• The Schur index of projective characters of symmetric and alternating groups
• Clifford classes for isoclinic groups.
• The Schur indices of the irreducible characters of the special linear groups
• A theorem on the restriction of group characters, and its application to the character theory of \(SL(n,q)\)
• Calculating Clifford classes for characters containing a linear character once.
• Clifford theory for cyclic quotient groups
• The characters of the finite special linear groups
• The Characters of the Finite General Linear Groups