Finding proper factorizations in finite groups
One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other direction by establishing conditions for when a finite group can be written as a pr...
Збережено в:
| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154504 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Finding proper factorizations in finite groups / J. Kirtland // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 45–59. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154504 |
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dspace |
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irk-123456789-1545042019-06-16T01:28:58Z Finding proper factorizations in finite groups Kirtland, J. One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other direction by establishing conditions for when a finite group can be written as a product of two proper subgroups and for when a specific proper subgroup is part of a product of proper subgroups that equals the group. A byproduct of this investigation is a classification of those finite groups which cannot be written as the product of any two proper subgroups. 2009 Article Finding proper factorizations in finite groups / J. Kirtland // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 45–59. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20D40; 20E07. http://dspace.nbuv.gov.ua/handle/123456789/154504 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 |
One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other direction by establishing conditions for when a finite group can be written as a product of two proper subgroups and for when a specific proper subgroup is part of a product of proper subgroups that equals the group. A byproduct of this investigation is a classification of those finite groups which cannot be written as the product of any two proper subgroups. |
| format |
Article |
| author |
Kirtland, J. |
| spellingShingle |
Kirtland, J. Finding proper factorizations in finite groups Algebra and Discrete Mathematics |
| author_facet |
Kirtland, J. |
| author_sort |
Kirtland, J. |
| title |
Finding proper factorizations in finite groups |
| title_short |
Finding proper factorizations in finite groups |
| title_full |
Finding proper factorizations in finite groups |
| title_fullStr |
Finding proper factorizations in finite groups |
| title_full_unstemmed |
Finding proper factorizations in finite groups |
| title_sort |
finding proper factorizations in finite groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154504 |
| citation_txt |
Finding proper factorizations in finite groups / J. Kirtland // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 45–59. — Бібліогр.: 14 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT kirtlandj findingproperfactorizationsinfinitegroups |
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2023-05-20T17:44:25Z |
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2023-05-20T17:44:25Z |
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1796153979289206784 |