Characters, Brauer characters, and local Brauer groups

DOI10.1080/00927872.2020.1793992OpenAlexW3045991393MaRDI QIDQ3386829

Alexandre Turull

Publication date: 7 January 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1793992

zbMATH Keywords

finite groupscharactersBrauer charactersBrauer group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Cites Work

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• The strengthened Alperin weight conjecture for \(p\)-solvable groups.
• Refinements of Dade's projective conjecture for \(p\)-solvable groups
• The computations of some Schur indices
• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Representation groups for the Schur index
• The Schur index over the 2-adic field
• Schur indices and Schur groups
• On Feit's definition of the Schur index.
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• Characterization of the simple components of the group algebras over the \(p\)-adic number field
• The Schur subgroup. I
• The Schur subgroup. II
• The McKay conjecture and Galois automorphisms.
• Character Theory and the McKay Conjecture
• The Schur subgroup of the Brauer group

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