The generators of a Sato-Tate group $G$ are a set $S$ of matrices $g$ that together with the identity component $G^0$ generate $G$.
The group $\langle S\rangle$ generated by $S$ necessarily contains representatives of every element of the component group but it will typically be larger (but not when $G^0$ is the trivial group, as in weight $0$).
- Review status: reviewed
- Last edited by Andrew Sutherland on 2021-01-01 15:23:32
- 2021-01-01 15:23:32 by Andrew Sutherland (Reviewed)
- 2016-05-04 03:09:57 by Andrew Sutherland (Reviewed)