Embedding problems for subgroups of the fundamental group

Manish Kumar

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arXiv · 0912.4996

Embedding problems for subgroups of the fundamental group

Manish Kumar

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Abstract

Let $π_1(C)$ be the fundamental group of a smooth irreducible affine curve $C$ over an algebraically closed field of positive characteristic. It is shown that given an embedding problem for $π_1(C)$ there exist an open index $p$ normal subgroup of $π_1(C)$ so that the embedding problem restricted to this group has a solution. In particular, $π_1(C)$ is "almost $ω$-free".

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BibTeX RIS

Manish Kumar. 2010-01-06. Embedding problems for subgroups of the fundamental group. https://arxiv.org/abs/0912.4996

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