伽罗瓦群的阿贝尔子群

Mathematics of The Ussr-izvestiya Pub Date : 1992-02-28 DOI:10.1070/IM1992V038N01ABEH002186

F. Bogomolov

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引用次数: 28

摘要

证明了有理函数域的代数闭包的Galois群中每一个有秩的Abelian子群都包含在一个分枝子群中，并且证明了未分枝的Brauer群等于[2]，§3中定义的未分枝的Brauer群，其中为商群。

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ABELIAN SUBGROUPS OF GALOIS GROUPS

The author proves that every Abelian subgroup of rank in the Galois group of the algebraic closure of a rational function field is contained in a ramification subgroup, and also that the unramified Brauer group equals the unramified Brauer group defined in [2], §3, where is the quotient group .

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Mathematics of The Ussr-izvestiya

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