Geodesic
The Structure of the Unit Group of the Group Algebra
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 237-243

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Let $RG$ denote the group ring of the group $G$ over the ring $R$ . Using an isomorphism between $RG$ and a certain ring of $n\,\times \,n$ matrices in conjunction with other techniques, the structure of the unit group of the group algebra of the dihedral group of order 8 over any finite field of chracteristic 2 is determined in terms of split extensions of cyclic groups.
DOI : 10.4153/CMB-2010-098-5
Mots-clés : 16U60, 16S34, 20C05, 15A33 
Creedon, Leo; Gildea, Joe. The Structure of the Unit Group of the Group Algebra. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 237-243. doi: 10.4153/CMB-2010-098-5
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-098-5/}
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