IJPAM: Volume 73, No. 2 (2011)
School of Mathematical Sciences
Guangxi Teachers Education University
Nanning, Guangxi 530023, P.R. CHINA
Abstract. Note that there are five mutually non-isomorphic groups of order 12: two decomposable Abelian groups and ; three indecomposable non-Abelian groups , and . For a finite field , the structure of was determined by R.K. Sharma, J.B. Srivastava and M. Khan in 2007. In this paper, we determine the structure of the unit group of the group ring , where is a finite field, and = , , or .
Received: June 13, 2011
AMS Subject Classification: 16S34, 16U60, 20C05
Key Words and Phrases: finite field, group ring, unit group
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395