ALTERNATING UNITS AS FREE FACTORS IN THE GROUP OF UNITS OF INTEGRAL GROUP RINGS

Autor(es)

Goncalves, Jairo Z. ; Veloso, Paula M.

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 54, p. 15-pg., 2011-10-01.

Resumo

Let G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and another unit v, which can be either a bicyclic or an alternating unit, such that for all sufficiently large integers m we have that < u(m), v(m)> = < u(m)> * < v(m)> congruent to Z * Z. (AU)

• Processo FAPESP: 06/59817-2 - O normalizador em aneis de semigrupos e subgrupos livres no grupo de unidades de aneis de semigrupos e de aneis de grupos twisted.
• Beneficiário: Paula Murgel Veloso
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado