Fundamental group in positive characteristic
Fundamental group in positive characteristic
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积极特征的基本群体
DOI：
10.1016/j.jalgebra.2008.01.013
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发表时间：
2008
影响因子：
0.9
通讯作者：
Manish Kumar
中科院分区：
文献类型：
--
作者：
Manish Kumar
证明了具有非零特征的可数代数闭域上光滑不可约仿射曲线的基本群的换位子群是无穷无可数秩子群的。给出了具有非零特征的代数闭域上仿射曲线基本群的简化刻画。
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.