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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| Дата: | 2015 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154754 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1547542019-06-16T01:31:44Z On the units of integral group ring of Cn×C₆ Küsmüş, Ö. 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). 2015 Article 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. 1726-3255 2010 MSC:16U60, 16S34. http://dspace.nbuv.gov.ua/handle/123456789/154754 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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). |
| format |
Article |
| author |
Küsmüş, Ö. |
| spellingShingle |
Küsmüş, Ö. On the units of integral group ring of Cn×C₆ Algebra and Discrete Mathematics |
| author_facet |
Küsmüş, Ö. |
| author_sort |
Küsmüş, Ö. |
| title |
On the units of integral group ring of Cn×C₆ |
| title_short |
On the units of integral group ring of Cn×C₆ |
| title_full |
On the units of integral group ring of Cn×C₆ |
| title_fullStr |
On the units of integral group ring of Cn×C₆ |
| title_full_unstemmed |
On the units of integral group ring of Cn×C₆ |
| title_sort |
on the units of integral group ring of cn×c₆ |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154754 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT kusmuso ontheunitsofintegralgroupringofcnc6 |
| first_indexed |
2023-05-20T17:45:18Z |
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2023-05-20T17:45:18Z |
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1796154018502803456 |