On the units of integral group ring of C-n x C-6
ALGEBRA & DISCRETE MATHEMATICS, cilt.20, sa.1, ss.142-151, 2015 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 1
- Basım Tarihi: 2015
- Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.142-151
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
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].