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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 Andrew Sutherland on 2021-01-01 15:15:51
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