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Algebra and Discrete Mathematics, 2015, том 20, выпуск 1, страницы 142–151
(Mi adm536)
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RESEARCH ARTICLE
On the units of integral group ring of $C_{n}\times C_{6}$
Ö. Küsmüş Department of Mathematics, Faculty of Science, Yuzuncu Yil University
Аннотация:
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 $\mathcal{U}_{1}(\mathbb{Z}[C_{n}\times C_{6}])$ can be expressed in terms of its 4 subgroups. Furthermore, forms of units in these subgroups are described by the unit group $\mathcal{U}_{1}(\mathbb{Z}C_{n})$. Notations mostly follow [11].
Ключевые слова:
group ring, integral group ring, unit group, unit problem.
Поступила в редакцию: 21.02.2015 Исправленный вариант: 05.03.2015
Образец цитирования:
Ö. Küsmüş, “On the units of integral group ring of $C_{n}\times C_{6}$”, Algebra Discrete Math., 20:1 (2015), 142–151
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm536 https://www.mathnet.ru/rus/adm/v20/i1/p142
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Страница аннотации: | 144 | PDF полного текста: | 72 | Список литературы: | 37 |
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