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Fundamental group in positive characteristic

Page: 1-63
2007
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Thesis / Dissertation Description

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

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