Geodesic
Determining Units in Some Integral Group Rings
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 242-246

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In this brief note, we will show how in principle to find all units in the integral group ring ZG, whenever G is a finite group such that and Z(G) each have exponent 2, 3, 4 or 6. Special cases include the dihedral group of order 8, whose units were previously computed by Polcino Milies [5], and the group discussed by Ritter and Sehgal [6]. Other examples of noncommutative integral group rings whose units have been computed include , but in general very little progress has been made in this direction. For basic information on units in group rings, the reader is referred to Sehgal [7].
DOI : 10.4153/CMB-1990-038-8
Mots-clés : 16A26 
Goodaire, E. G.; Jespers, E.; Parmenter, M. M. Determining Units in Some Integral Group Rings. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 242-246. doi: 10.4153/CMB-1990-038-8
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