首页   按字顺浏览 期刊浏览 卷期浏览 Extensions galoisiennes non commutatives :normalité cohomologie non abélienne
Extensions galoisiennes non commutatives :normalité cohomologie non abélienne

 

作者: Philippe Nuss,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 7  

页码: 3223-3251

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827021

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Galois-extension;non-commutative ring;idempotent;quaternion;crossed-module;non abelian cohomology;16W20;16H05;16K20;18G50;08A35

 

数据来源: Taylor

 

摘要:

We study various types of noncommutative Galois extensions and present some examples. We state a criterion which decides whether a given automorphism of a Galois extension belongs to the corresponding Galois group or not. We then compute Borovoi’s nonabelian cohomology sets (in degree 0, 1, 2) of the Galois group with coefficients in a crossed module associated to the Galois extension.

 

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