Minimal embeddings of small finite groups
We determine the groups of minimal order in which all groups of order $n$ can embedded for $ 1 \le n \le 15$. We further determine the minimal order of a group in which all groups of order $n$ or less can be embedded, also for $ 1 \le n \le 15$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2020-09-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_24034_7e93a27438d4099810093b2c0743fc9c.pdf |
| _version_ | 1818487548159197184 |
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| author | Robert Heffernan Brendan McCann |
| author_facet | Robert Heffernan Brendan McCann |
| author_sort | Robert Heffernan |
| collection | DOAJ |
| description | We determine the groups of minimal order in which all groups of order $n$ can embedded for $ 1 \le n \le 15$. We further determine the minimal order of a group in which all groups of order $n$ or less can be embedded, also for $ 1 \le n \le 15$. |
| first_indexed | 2024-12-10T16:39:23Z |
| format | Article |
| id | doaj.art-cccfe514992b4b468b888864437c2d49 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-12-10T16:39:23Z |
| publishDate | 2020-09-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-cccfe514992b4b468b888864437c2d492022-12-22T01:41:16ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692020-09-019315718310.22108/ijgt.2019.112560.149724034Minimal embeddings of small finite groupsRobert Heffernan0Brendan McCann1Department of Mathematics, Cork Institute of Technology, Bishopstown, Cork, Ireland.Department of Computing and Mathematics, Waterford Institute of Technology, Waterford, IrelandWe determine the groups of minimal order in which all groups of order $n$ can embedded for $ 1 \le n \le 15$. We further determine the minimal order of a group in which all groups of order $n$ or less can be embedded, also for $ 1 \le n \le 15$.https://ijgt.ui.ac.ir/article_24034_7e93a27438d4099810093b2c0743fc9c.pdfembeddings of groupsminimal embeddingssmall finite groups |
| spellingShingle | Robert Heffernan Brendan McCann Minimal embeddings of small finite groups International Journal of Group Theory embeddings of groups minimal embeddings small finite groups |
| title | Minimal embeddings of small finite groups |
| title_full | Minimal embeddings of small finite groups |
| title_fullStr | Minimal embeddings of small finite groups |
| title_full_unstemmed | Minimal embeddings of small finite groups |
| title_short | Minimal embeddings of small finite groups |
| title_sort | minimal embeddings of small finite groups |
| topic | embeddings of groups minimal embeddings small finite groups |
| url | https://ijgt.ui.ac.ir/article_24034_7e93a27438d4099810093b2c0743fc9c.pdf |
| work_keys_str_mv | AT robertheffernan minimalembeddingsofsmallfinitegroups AT brendanmccann minimalembeddingsofsmallfinitegroups |