On the units of integral group ring of \(C_{n}\times C_{6}\)

• Дата: 2015
• Автор: Küsmüş, Ömer
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2015
• Теми: group ring; integral group ring; unit group; unit problem; 16U60; 16S34
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/104
• Назва журналу: Algebra and Discrete Mathematics

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 \(C_{n}\times C_{6}\) where \(C_{n}=\langle a:a^{n}=1\rangle\) and \(C_{6}=\langle x:x^{6}=1\rangle\). We show that \(\math...