On the units of integral group ring of C-n x C-6

Küsmüş Ö.

ALGEBRA & DISCRETE MATHEMATICS, vol.20, no.1, pp.142-151, 2015 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 1
  • Publication Date: 2015
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.142-151
  • Van Yüzüncü Yıl University Affiliated: Yes


There are many kind of open problems with varying difficulty on units in a given integral group ring. In this note, we characterize the unit group of the integral group ring of C-n x C-6 where C-n = < a : a(n) = 1 > and C-6 = < x : x(6) = 1 >. We show that u(1)(Z[C-n x C-6]) can be expressed in terms of its 4 subgroups. Furthermore, forms of units in these subgroups are described by the unit group u(1)(ZC(n)). Notations mostly follow [11].