On the units of integral group ring of Cn × C₆
There are many kind of open problems withvarying difficulty on units in a given integral group ring. In thisnote, 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...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/158005 |
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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. 20, № 1. — С. 142–151. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721722386481152 |
|---|---|
| author | Küsmüş, Ö. |
| author_facet | Küsmüş, Ö. |
| citation_txt | On the units of integral group ring of Cn × C₆ / Ö. Küsmüş // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 142–151. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | There are many kind of open problems withvarying difficulty on units in a given integral group ring. In thisnote, 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).
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| first_indexed | 2025-12-07T18:32:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-158005 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:32:49Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Küsmüş, Ö. 2019-06-22T12:26:47Z 2019-06-22T12:26:47Z 2015 On the units of integral group ring of Cn × C₆ / Ö. Küsmüş // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 142–151. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC:16U60, 16S34. https://nasplib.isofts.kiev.ua/handle/123456789/158005 There are many kind of open problems withvarying difficulty on units in a given integral group ring. In thisnote, 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the units of integral group ring of Cn × C₆ Article published earlier |
| spellingShingle | On the units of integral group ring of Cn × C₆ Küsmüş, Ö. |
| title | 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_short | On the units of integral group ring of Cn × C₆ |
| title_sort | on the units of integral group ring of cn × c₆ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/158005 |
| work_keys_str_mv | AT kusmuso ontheunitsofintegralgroupringofcnc6 |