On the units of integral group ring of Cn×C₆
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. Furthermor...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154754 |
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| 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. 19, № 2. — С. 142-151. — Бібліогр.: 11 назв. — англ. |