Clifford theory of simple modules

DOI10.1016/0021-8693(88)90083-XzbMath0667.20004MaRDI QIDQ1117313

Peter Schmid

Publication date: 1988

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

zbMATH Keywords

Clifford theorycentercrossed productfinite groupBrauer groupgraded algebradivision algebrasimple algebraSchur indexClifford obstructionG-field

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Graded rings and modules (associative rings and algebras) (16W50) Division rings and semisimple Artin rings (16Kxx)

Related Items (8)

On Clifford theory with Galois action ⋮ Automorphisms of blocks of group algebras and character values ⋮ G-Algebras and Clifford Extensions of Points ⋮ Induced crossed products ⋮ Bimodules in group graded rings ⋮ Relative projectivity of representations of group-graded rings ⋮ The Schur-Clifford subgroup of the Brauer-Clifford group ⋮ Defects of irreducible characters of \(p\)-soluble groups

Cites Work

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• Representation groups for the Schur index
• Representation groups of characters
• Extending irreducible representations of normal subgroups
• Group-graded rings and modules
• Twisted group algebras and Clifford extensions
• Extensions of group representations over arbitrary fields
• The equivalence of various generalizations of group rings and modules
• Extending irreducible modules
• A new method in fixed point theory
• Isomorphisms of Clifford extensions
• Compounding Clifford's theory
• The Schur subgroup. II
• Representations induced in an invariant subgroup
• Clifford theory for group-graded rings.
• Character Values and Clifford Extensions for Finite Groups
• Automorphisms of Simple Algebras
• The Schur subgroup of the Brauer group

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