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 |
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| Online Access: | http://www.advgrouptheory.com/journal/Volumes/9/McCann.pdf |
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Article |
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doaj-cb9a0e8d0b51447987f0a48fa27fff2a2020-11-25T03:52:31ZengAracneAdvances 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Brendan McCann |
| 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 |
| author_facet |
Brendan McCann |
| author_sort |
Brendan McCann |
| title |
On Products of Cyclic and Non-Abelian Finite p-Groups |
| title_short |
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_sort |
on products of cyclic and non-abelian finite p-groups |
| publisher |
Aracne |
| series |
Advances in Group Theory and Applications |
| issn |
2499-1287 2499-1287 |
| publishDate |
2020-06-01 |
| 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. |
| 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 |
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1724482461858004992 |