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arXiv · 1501.03938

Pink-type results for general subgroup of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$

Davide Lombardo
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Abstract

We study open subgroups $G$ of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$ in terms of some associated Lie algebras without assuming that $G$ is a pro-$\ell$ group, thereby extending a theorem of Pink. The result has applications to the study of families of Galois representations.

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Davide Lombardo. 2015-08-09. Pink-type results for general subgroup of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$. https://arxiv.org/abs/1501.03938

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