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ON A CONNECTION BETWEEN THE SCHUR MULTIPLIER AND THE BRAUER GROUP OF A FIELD

 

作者: Falko Lorenz,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1986）
卷期: Volume 9, issue 1-4  

页码: 349-362

 

ISSN:1607-3606

 

年代: 1986

 

DOI:10.1080/16073606.1986.9632122

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Let k be a field and suppose ζnis a primitive n-th root of unity contained in k. We denote by Sr(k) = H2(Gk,Cx) the Schur multiplier of k. We observe: If the n-part of Sr(k) is trivial, then every element of order n in the Brauer group Br(k) can be represented as a cyclic algebra of the form

 

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