Geodesic
Semigroup identities on units of integral group rings
Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 1-6

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

Let U(RG) be the group of units of a group ring RG over a commutative ring R with 1. We say that a group is an SIT-group if it is an extension of a group which satisfies a semigroup identity by a torsion group. It is a consequence of the main result that if G is torsion and R = Z, then U(RG) is an SIT-group if and only if G is either abelian or a Hamiltonian 2-group. If R is a local ring of characteristic 0 only the first alternative can occur. 
Dokuchaev, Michael A.; Gonçalves, Jairo Z. Semigroup identities on units of integral group rings. Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 1-6. doi: 10.1017/S0017089500031839
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