Title of article :
Fundamental group in positive characteristic
Author/Authors :
Manish Kumar، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
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.
Keywords :
fundamental group , Galois theory , Formal patching
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra