Geodesic
On the units of integral group ring of $C_{n}\times C_{6}$
Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 142-151

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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].
Keywords: group ring, integral group ring, unit group, unit problem. 
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     title = {On the units of integral group ring of $C_{n}\times C_{6}$},
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Ö. Küsmüş. On the units of integral group ring of $C_{n}\times C_{6}$. Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 142-151. http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a10/