A complete classification of weakly Dedekind groups
A finite group is called a weakly Dedekind group if all its noncyclic subgroups are normal. In this paper, we determine the complete classification of weakly Dedekind groups.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024387?viewType=HTML |
| _version_ | 1797277547994546176 |
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| author | Huaguo Shi Zhangjia Han Pengfei Guo |
| author_facet | Huaguo Shi Zhangjia Han Pengfei Guo |
| author_sort | Huaguo Shi |
| collection | DOAJ |
| description | A finite group is called a weakly Dedekind group if all its noncyclic subgroups are normal. In this paper, we determine the complete classification of weakly Dedekind groups. |
| first_indexed | 2024-03-07T15:50:58Z |
| format | Article |
| id | doaj.art-074724472bd2413ba5330d6ff5df235c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-07T15:50:58Z |
| publishDate | 2024-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-074724472bd2413ba5330d6ff5df235c2024-03-05T01:29:54ZengAIMS PressAIMS Mathematics2473-69882024-02-01947955797210.3934/math.2024387A complete classification of weakly Dedekind groupsHuaguo Shi 0Zhangjia Han1 Pengfei Guo21. Department of Teacher Education, Sichuan Vocational and Technical College, Suining 629000, China2. School of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China3. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, ChinaA finite group is called a weakly Dedekind group if all its noncyclic subgroups are normal. In this paper, we determine the complete classification of weakly Dedekind groups.https://www.aimspress.com/article/doi/10.3934/math.2024387?viewType=HTMLfinite groupnormal subgroupcyclic subgroupp-group |
| spellingShingle | Huaguo Shi Zhangjia Han Pengfei Guo A complete classification of weakly Dedekind groups AIMS Mathematics finite group normal subgroup cyclic subgroup p-group |
| title | A complete classification of weakly Dedekind groups |
| title_full | A complete classification of weakly Dedekind groups |
| title_fullStr | A complete classification of weakly Dedekind groups |
| title_full_unstemmed | A complete classification of weakly Dedekind groups |
| title_short | A complete classification of weakly Dedekind groups |
| title_sort | complete classification of weakly dedekind groups |
| topic | finite group normal subgroup cyclic subgroup p-group |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024387?viewType=HTML |
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