Minimal Cyclotomic Splitting Fields for Group Characters

DOI10.2307/2045302zbMath0513.12006OpenAlexW4248284132MaRDI QIDQ3658082

Richard A. Mollin

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045302

zbMATH Keywords

cyclic extensiongenus numbersabsolutely irreducible characterminimal splitting field

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Galois theory (11R32) Cyclotomic extensions (11R18)

Related Items (2)

Minimizing representations over number fields. ⋮ Minimizing representations over number fields. II: Computations in the Brauer group.

Cites Work

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• Schur indices in finite groups
• The Schur group of a field of characteristic zero
• The genus fields of algebraic number fields
• Minimal splitting fields for group representations. II
• The Schur subgroup. I
• Minimal splitting fields for group representations
• Splitting fields and group characters.
• Correction to the paper: Splitting fields and group characters.
• Minimal Splitting Fields in Cyclotomic Extensions
• Generalized uniform distribution of hasse invariants
• The Schur subgroup of the Brauer group

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