Vol. 192, No. 1, 2000

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Finite quotients of the algebraic fundamental group of projective curves in positive characteristic

Amílcar Pacheco and Katherine F. Stevenson

Vol. 192 (2000), No. 1, 143–158
Abstract

Let X be a smooth connected projective curve defined over an algebraically closed field k of characteristic p > 0. Let G be a finite group whose order is divisible by p. Suppose that G has a normal p-Sylow subgroup. We give a necessary and sufficient condition for G to be a quotient of the algebraic fundamental group π1(X) of X.

Milestones
Received: 18 May 1998
Published: 1 January 2000
Authors
Amílcar Pacheco
Universidade Federal do Rio de Janeiro
Rio de Janeiro RJ
Brasil
Katherine F. Stevenson
California Institute of Technology
Pasadena, CA 91125