The canonical character of metacyclic groups with a form-quasiprimitive symplectic module and an application to Brauer formulas of local Galois groups
DOI10.1016/0021-8693(90)90070-5zbMath0706.20009OpenAlexW2017464547MaRDI QIDQ919091
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(90)90070-5
metacyclic groupsBrauer's induction theoremAbelian charactersBrauer formulascanonical characterp-adic number fieldssum of characterstame local Galois groups
Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Galois theory (11S20)
Cites Work
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- Supersolvable automorphism groups of solvable groups.
- Classification of the primitive representations of the Galois group of local fields
- Hall-Higman type theorems. V
- Primitive Linear Groups Containing a Normal Nilpotent Subgroup Larger Than the Centre of the Group
- An explicit Brauer formula for local Galois characters.
- Hall-Higman Type Theorems. III
- Characters of Solvable and Symplectic Groups
- On the Character of Weil's Representation
- Character correspondences in solvable groups
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