Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the units of integral group ring of Cn×C₆
Репозиторій DSpace/Manakin
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On the units of integral group ring of Cn×C₆
Інший ID:
2010 MSC:16U60, 16S34.
Посилання:
On the units of integral group ring of Cn×C₆ / Ö. Küsmüş // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 142-151. — Бібліогр.: 11 назв. — англ.
Підтримка:
The authors would like to thank to all the members of the journal Algebra and Discrete Mathematics.
Дата:
2015
Переглядів:
480
Завантажень:
129
Анотація:
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 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. Furthermore, forms of units in these subgroups are described by the unit group U₁(ZCn).
