Schur Indices and the Galois Group
Copyright policy )Schur Indices and the Galois Group
In this note we show that the order of the Schur index of an irreducible representation divides the order of a certain subgroup of the Galois group of a cyclotomic extension of the ground field.
Ordinary representations and characters, Galois group, Modular representations and characters, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Separable extensions, Galois theory, Schur index, Projective representations and multipliers, irreducible character, p-Sylow subgroup
Ordinary representations and characters, Galois group, Modular representations and characters, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Separable extensions, Galois theory, Schur index, Projective representations and multipliers, irreducible character, p-Sylow subgroup
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