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As a compact Lie group, a Sato-Tate group $G$ need not be connected, but it necessarily consists of a finite set of components, each of which is a coset of the identity component $G^0$, a normal subgroup. The number of components is equal to the cardinality of the component group $G/G^0$.

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• Review status: reviewed
• Last edited by Kiran S. Kedlaya on 2018-06-20 04:11:20
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