We introduce the notion of the genus level of a group as a tool to help classify finite conformal group actions on compact Riemann surfaces. We classify all groups of genus level and use our results to outline an algorithm to classify actions of -groups on compact Riemann surfaces. To illustrate our results, we provide a number of detailed examples.
"The genus level of a group." Involve 2 (3) 323 - 340, 2009. https://doi.org/10.2140/involve.2009.2.323