INDUCED AUTOMORPHISMS AND p-ELLIPTIC HYPERMAPS

Abstract

The purpose of this paper is to describe the relationship between a given automorphism ψ of a hypermap (α, σ) and its projection (or induced automorphism) [Formula: see text] on the hypermap [Formula: see text], the latter being the quotient hypermap of (α, σ) by an automorphism group G. Moreover, we propose a generalization of the notion of hyperelliptic hypermaps by defining p-elliptic hypermaps.