IJPAM: Volume 45, No. 2 (2008)

THE STRUCTURE OF THE UNIT GROUP OF
THE GROUP ALGEBRA ${\mathbb{F}}_{3^k}D_{6}$

Leo Creedon$^1$, Joe Gildea$^2$
$^{1,2}$School of Engineering
Institute of Technology
Sligo, IRELAND
$^1$e-mail: creedon.leo@itsligo.ie
$^2$e-mail: gildeajoe@gmail.com


Abstract.The structure of the unit group of the group algebra of the dihedral group of order $6$ over any finite field of chracteristic $3$ is determined in terms of split extensions of cyclic groups.

Received: April 17, 2008

AMS Subject Classification: 20C05, 16S84, 20H30, 15A33

Key Words and Phrases: group ring, group algebra, unit group, dihedral

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 2