F-split Galois representations are potentially abelian

Chandrashekhar Khare

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F-split Galois representations are potentially abelian

Chandrashekhar Khare

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Abstract

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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Chandrashekhar Khare. 2002-10-25. F-split Galois representations are potentially abelian. https://arxiv.org/abs/math/0210402

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