INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS

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.

CNPq[300.128/2008-8]

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fapesp-Brazil[Tematico 2009/52665-0]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

NSA[H98230-10-1-0217]

NSA