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

Autor(es)

Goncalves, J. Z. ^[1] ; Passman, D. S. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, BR-05389970 Sao Paulo - Brazil

^[2] Univ Wisconsin, Dept Math, Madison, WI 53706 - USA

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 10, n. 4, p. 711-725, AUG 2011.
• Citações Web of Science: 1

Resumo

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. (AU)

• Processo FAPESP: 09/52665-0 - Grupos, anéis e álgebras: interações e aplicações
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático