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For a Sato-Tate group $G$, its maximal subgroups are the proper subgroups $H$ of $G$ of finite index that are not contained in any other proper subgroup of $G$; such groups necessarily have the same identity component $H^0=G^0$ as $G$.

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• Review status: reviewed
• Last edited by Kiran S. Kedlaya on 2018-06-20 04:16:41
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