Artículos de revistas
INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS
Fecha
2011Registro en:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.10, n.4, p.711-725, 2011
0219-4988
10.1142/S0219498811004872
Autor
GONCALVES, J. Z.
PASSMAN, D. S.
Institución
Resumen
Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and let * be an involution of ZG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (u(k,m)(x*), u(k,m)(x*)) or (u(k,m)(x), u(k,m)(y)), formed respectively by Bass cyclic and *-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ZG.