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The minimal supergroups of a Sato-Tate group $G$ are the groups $H$ that properly contain $G$ with finite index and do not properly contain any other proper supergroup of $G$; they necessarily have the same identity component $H^0=G^0$ as $G$.

For rational Sato-Tate groups in the LMFDB we list only rational minimal supergroups.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2021-01-01 15:00:42
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