On Products of Cyclic and Non-Abelian Finite p-Groups
For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length of such groups are also presented.
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| Format: | Article |
| Language: | English |
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Aracne
2020-06-01
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| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/9/McCann.pdf |
| _version_ | 1818507037474029568 |
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| author | Brendan McCann |
| author_facet | Brendan McCann |
| author_sort | Brendan McCann |
| collection | DOAJ |
| description | For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length of such groups are also presented. |
| first_indexed | 2024-12-10T22:13:01Z |
| format | Article |
| id | doaj.art-cb9a0e8d0b51447987f0a48fa27fff2a |
| institution | Directory Open Access Journal |
| issn | 2499-1287 2499-1287 |
| language | English |
| last_indexed | 2024-12-10T22:13:01Z |
| publishDate | 2020-06-01 |
| publisher | Aracne |
| record_format | Article |
| series | Advances in Group Theory and Applications |
| spelling | doaj.art-cb9a0e8d0b51447987f0a48fa27fff2a2022-12-22T01:31:33ZengAracneAdvances in Group Theory and Applications2499-12872499-12872020-06-01953710.32037/agta-2020-001On Products of Cyclic and Non-Abelian Finite p-GroupsBrendan McCann0Waterford Institute of TechnologyFor an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length of such groups are also presented.http://www.advgrouptheory.com/journal/Volumes/9/McCann.pdfproduct of groupsfactorised groupfinite p-group |
| spellingShingle | Brendan McCann On Products of Cyclic and Non-Abelian Finite p-Groups Advances in Group Theory and Applications product of groups factorised group finite p-group |
| title | On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_full | On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_fullStr | On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_full_unstemmed | On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_short | On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_sort | on products of cyclic and non abelian finite p groups |
| topic | product of groups factorised group finite p-group |
| url | http://www.advgrouptheory.com/journal/Volumes/9/McCann.pdf |
| work_keys_str_mv | AT brendanmccann onproductsofcyclicandnonabelianfinitepgroups |