On the units of integral group ring of Cn × C₆

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Author: Küsmüş, Ö.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/158005
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the units of integral group ring of Cn × C₆ / Ö. Küsmüş // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 142–151. — Бібліогр.: 11 назв. — англ.

There are many kind of open problems withvarying difficulty on units in a given integral group ring. In thisnote, we characterize the unit group of the integral group ring of Cn × C₆ where Cn = 〈a: aⁿ = 1〉 and C₆ = 〈x: x⁶ = 1〉. We show that U₁(Z[Cn × C₆]) can be expressed in terms of its 4 subgroups...