\(\ell\)-Überlagerungen von \({\mathbb{P}}^1\setminus\{{\mathfrak p}_1,{\mathfrak p}_2,{\mathfrak p}_3\}\) (Q1061185)

Let C be a finite Galois covering of \({\mathbb{P}}^ 1\) of prime degree \(\ell\), and unramified outside a set S of three points of \({\mathbb{P}}^ 1\). Let T be the set of points of C lying over S. Let \(p\neq \ell\) be a prime. The author shows how to obtain a set of generators of \(\pi_ 1(C\setminus T)^{(p)}\), the prime to p part of the fundamental group of \(C\setminus T\), from a standard set of generators of \(\pi_ 1({\mathbb{P}}^ 1\setminus S)^{(p)}\).