Clifford theory for cyclic quotient groups

DOI10.1006/jabr.1999.8229zbMath0959.20010OpenAlexW2016108175MaRDI QIDQ1977563

Alexandre Turull

Publication date: 1 February 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8229

zbMATH Keywords

finite groupsClifford theorycharactersBrauer groupscentral simple algebrasSchur indices\(G\)-algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Separable extensions, Galois theory (12F10) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35) Brauer groups (algebraic aspects) (16K50)

Related Items

Matrices for finite group representations that respect Galois automorphisms ⋮ Characters and Equivalence Classes of Central Simple Group Graded Algebras ⋮ A formula for calculating some Schur indices ⋮ Reduction theorems for Clifford classes ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings ⋮ Invariants for equivalence of central simple \(G\)-algebras. ⋮ The Schur indices of the irreducible characters of the special linear groups ⋮ Calculating Clifford classes for characters containing a linear character once. ⋮ Clifford classes for some overgroups of the special linear groups.

Cites Work

• The Schur index of projective characters of symmetric and alternating groups
• Some invariants for equivalent \(G\)-algebras
• Equivalence of g-algebras with complemented centroid
• Equivalence of G-Algebras for Abelian G
• Unnamed Item

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