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Published online by Cambridge University Press: 20 November 2018
We study   ${{\mathbb{Z}}_{p}}$  actions on compact connected Riemann surfaces via their associated Eichler traces.We determine the set of possible Eichler traces and determine the relationship between 2 actions if they have the same trace.
 ${{\mathbb{Z}}_{p}}$  actions on compact connected Riemann surfaces via their associated Eichler traces.We determine the set of possible Eichler traces and determine the relationship between 2 actions if they have the same trace.