F-split Galois representations are potentially abelian

Details F-split Galois representations are potentially abelian F-split Galois representations are potentially abelian

2002-10-25

arxiv.org/abs/math/0210402v1

Mathematics

Number Theory

Scientific paper

In this note we relate the property of a semisimple l-adic Galois
representation being "F-split" for a number field F to its having abelian
image. By F-split we mean that the characteristic polynomials of Frobenii all
split in F.

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