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The generating vector of a group of automorphisms $G$ acting on a compact Riemann surface $X$ is a list of generators for the monodromy group of $G$ obtained by taking the image of the standard generators for $\pi_1(Y-B,y_0)$ under the image of the map $\rho\colon \pi_1(Y-B,y_0)\to S_d$ used to define the monodromy group, where $B$ is the set of branch points of the projection $\phi\colon X\to Y=X/G$, and $y_0$ is any point on $Y$ that is not in $B$.

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  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2018-06-29 20:52:03
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