Geodesic
Group Rings With Hypercentral Unit Groups
Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 425-434

Voir la notice de l'article provenant de la source Cambridge University Press

Let KG be the group ring of a group G over a field K and let U(KG) be its group of units. If K has characteristic p > 0 and G contains p-elements, then it is proved that U(KG) is hypercentral if and only if G is nilpotent and G′ is a finite p-group.
DOI : 10.4153/CJM-1991-025-3
Mots-clés : 16A27, 20C07 
Riley, David M. Group Rings With Hypercentral Unit Groups. Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 425-434. doi: 10.4153/CJM-1991-025-3
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