On Clifford theory with Galois action

DOI10.1016/j.jalgebra.2016.03.008zbMath1355.20006arXiv1409.3559OpenAlexW1745363156MaRDI QIDQ279721

Frieder Ladisch

Publication date: 29 April 2016

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

Full work available at URL: https://arxiv.org/abs/1409.3559

zbMATH Keywords

Clifford theoryGalois theoryBrauer-Clifford groupcharacter theory of finite groupsSchur indices

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (2)

Degree divisibility in Alperin-McKay correspondences ⋮ A reduction theorem for the Galois–McKay conjecture

Cites Work

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• The Brauer-Clifford group of \(G\)-rings.
• The Brauer-Clifford group.
• Brauer-Clifford equivalence of full matrix algebras.
• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Extending irreducible representations of normal subgroups
• Clifford theory of simple modules
• Extensions of group representations over arbitrary fields
• Extending irreducible modules
• Clifford theory with Schur indices
• Schur indices and Schur groups. II.
• Clifford theory and endoisomorphisms.
• Endoisomorphisms yield module and character correspondences.
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• Above the Glauberman correspondence.
• Clifford theory and Galois theory. I.
• Corestriction for algebras with group action.
• The Schur-Clifford subgroup of the Brauer-Clifford group
• Isomorphisms of Clifford extensions
• The McKay conjecture and Galois automorphisms.
• Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings
• Character Values and Clifford Extensions for Finite Groups
• Automorphisms of Simple Algebras
• The Schur subgroup of the Brauer group

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