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On the order of the unitary subgroup of a modular group algebra

 

作者: Victor Bovdi,   A.L. Rosa,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 4  

页码: 1897-1905

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826934

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Primary 20C07;16S34

 

数据来源: Taylor

 

摘要:

LetKGbe a group algebra of a finite p-groupGover a finite fieldKof characteristicp. We compute the order of the unitary subgroup of the group of units whenGis either an extraspecial 2-group or the central product of such a group with a cyclic group of order 4 orGhas an abelian subgroupAof index 2 and an elementbsuch thatbinverts each element ofA.

 

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