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Pro-Pgalois groups of function fields over local fields

 

作者: Ido Efrat,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 6  

页码: 2999-3021

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827005

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

For non-archimedean local fieldKand a prime numberpwe compute the finitely generated pro-p(closed) subgroups of the absolute Galois group ofK(t). In addition, we characterize the finitely generated pro-pgroups which occur as the maximal pro-pGalois group of algebraic extensions ofK(t) containing a primitivepth root of unity.

 

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