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...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/776 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-7762018-04-04T08:38:30Z Finding proper factorizations in finite groups Kirtland, Joseph factorization, supplement, maximal subgroup 20D40; 20E07 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/776 Algebra and Discrete Mathematics; Vol 8, No 2 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/776/306 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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OJS |
| language |
English |
| topic |
factorization supplement maximal subgroup 20D40; 20E07 |
| spellingShingle |
factorization supplement maximal subgroup 20D40; 20E07 Kirtland, Joseph Finding proper factorizations in finite groups |
| topic_facet |
factorization supplement maximal subgroup 20D40; 20E07 |
| format |
Article |
| author |
Kirtland, Joseph |
| author_facet |
Kirtland, Joseph |
| author_sort |
Kirtland, Joseph |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/776 |
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AT kirtlandjoseph findingproperfactorizationsinfinitegroups |
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2024-04-12T06:25:24Z |
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2024-04-12T06:25:24Z |
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