Geodesic
Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 365-370

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

Let KG be the group ring of the group G over the field K and U(KG) its unit group. When G is finite we derive conditions which imply that every noncentral subnormal subgroup of U(KG) contains a free group of rank two. We also show that residual nilpotence of U(KG) coincides with nilpotence, this being no longer true if G is infinite.We can answer partially the following question: when is G sub-normal in U(KG)?
DOI : 10.4153/CMB-1984-055-6
Mots-clés : 16A26, 16A40, 20C05, 20E05, 20E25 
Gonçalves, Jairo Z. Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 365-370. doi: 10.4153/CMB-1984-055-6
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