Stable Clifford theory

DOI10.1016/0021-8693(72)90152-4zbMath0282.16020OpenAlexW1993544374MaRDI QIDQ1843482

Edward Cline

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90152-4

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Representation theory of groups (20C99) Representation theory of associative rings and algebras (16Gxx)

Related Items (26)

Representation groups of characters ⋮ Filtrations, stable Clifford theory and group-graded rings and modules ⋮ Stable Clifford extensions of modules. ⋮ Static modules and Clifford theories ⋮ Group-graded rings and modules ⋮ \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\). ⋮ The sources of simple modules ofp-solvable groups with elementary abelianp-sylow group of orderp² ⋮ Induction of irreducible modules from normal subgroups ⋮ On Brauer’s height 0 conjecture ⋮ Variations on a theme of Cline and Donkin. ⋮ Static modules and stable Clifford theory ⋮ Static modules, Morita contexts, and equivalences ⋮ The equivalence of various generalizations of group rings and modules ⋮ Clifford theory for infinite dimensional modules ⋮ Normal subrings and induced representations ⋮ Extending irreducible modules ⋮ Static modules, stable Clifford theory, and Morita similarities of rings ⋮ A note on stable Clifford extensions of modules. ⋮ Module Correspondences for Twisted Group Algebras ⋮ On the vertices of modules in the Auslander-Reiten quiver ⋮ On modular representations of p-solvable groups ⋮ Integration of modules. I: Stability ⋮ Irreducible representations of crossed products ⋮ Clifford correspondence for finite dimensional Hopf algebras ⋮ Clifford correspondence for algebras. ⋮ Two Clifford's theorems for strongly group-graded rings

Cites Work

• Unnamed Item
• Endomorphism ring of an induced module
• Remark on a problem of Niven and Zuckerman
• Isomorphisms of Clifford extensions
• The analysis of representations induced from a normal subgroup
• Compounding Clifford's theory
• On the Reduction of Induced Representations of Finite Groups
• Twisted group algebras and their representations
• On the Reduction of Induced Indecomposable Representations
• Note on the Reduction of Induced Representations

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