Article ID Journal Published Year Pages File Type
4587646 Journal of Algebra 2008 30 Pages PDF
Abstract

It is shown that the commutator subgroup of the fundamental group of a smooth irreducible affine curve over a countable algebraically closed field of nonzero characteristic is profinite free of countable rank. A description of the abelianizations of the fundamental groups of affine curves over an algebraically closed field of nonzero characteristic is also given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory