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- W4297229848 abstract "Let $p geq 5$ be a prime number. We find all the possible subgroups $G$ of ${rm GL}_2 ( mathbb{Z} / p mathbb{Z} )$ such that there exists a number field $k$ and an elliptic curve ${mathcal{E}}$ defined over $k$ such that the ${rm Gal} ( k ( {mathcal{E}}[p] ) / k )$-module ${mathcal{E}}[p]$ is isomorphic to the $G$-module $( mathbb{Z} / p mathbb{Z} )^2$ and there exists $n in mathbb{N}$ such that the local-global divisibility by $p^n$ does not hold over ${mathcal{E}} ( k )$." @default.
- W4297229848 created "2022-09-28" @default.
- W4297229848 creator A5079364682 @default.
- W4297229848 date "2017-05-04" @default.
- W4297229848 modified "2023-09-23" @default.
- W4297229848 title "Counterexamples to the local-global divisibility over elliptic curves" @default.
- W4297229848 doi "https://doi.org/10.48550/arxiv.1705.01880" @default.
- W4297229848 hasPublicationYear "2017" @default.
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