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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2009 |
| ISSN: | 1726-3255 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154504 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Finding proper factorizations in finite groups / J. Kirtland // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 45–59. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749343805603840 |
|---|---|
| author | Kirtland, J. |
| author_facet | Kirtland, J. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T21:00:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154504 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:00:33Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kirtland, J. 2019-06-15T16:13:36Z 2019-06-15T16:13:36Z 2009 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. https://nasplib.isofts.kiev.ua/handle/123456789/154504 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Finding proper factorizations in finite groups Article published earlier |
| spellingShingle | Finding proper factorizations in finite groups Kirtland, J. |
| title | 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_short | Finding proper factorizations in finite groups |
| title_sort | finding proper factorizations in finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154504 |
| work_keys_str_mv | AT kirtlandj findingproperfactorizationsinfinitegroups |