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On the GK-transcendency degree of division rings of fractions of polycyclic group rings

 

作者: Alexander M. Aizenbud,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 1  

页码: 243-251

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408824842

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

It is proved that each polycyclic group G, which is not nilpotent-by-finite, contains a subgroup of finite index H, such that the Ore ring of fractions of the group ring k[H] over a field k is of infinite Gelfand-Kirillov transcendence degree.

 

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