On The Jacobsthal-Padovan p-Sequences in Groups
In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail. Furthermore, we obtain the lengths of the periods of the Jacobsthal-Pa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-12-01
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| Series: | Topological Algebra and its Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/taa-2017-0010 |
| _version_ | 1818586544678633472 |
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| author | Aküzüm Yesim Deveci Ömür |
| author_facet | Aküzüm Yesim Deveci Ömür |
| author_sort | Aküzüm Yesim |
| collection | DOAJ |
| description | In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail. Furthermore, we obtain the lengths of the periods of the Jacobsthal-Padovan p-orbits of the Fox groups G1,l for l ≥ 3 as applications of the results. |
| first_indexed | 2024-12-16T08:54:39Z |
| format | Article |
| id | doaj.art-853b80009a604d5cb81b583b6c5afd5f |
| institution | Directory Open Access Journal |
| issn | 2299-3231 |
| language | English |
| last_indexed | 2024-12-16T08:54:39Z |
| publishDate | 2017-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Topological Algebra and its Applications |
| spelling | doaj.art-853b80009a604d5cb81b583b6c5afd5f2022-12-21T22:37:20ZengDe GruyterTopological Algebra and its Applications2299-32312017-12-0151636610.1515/taa-2017-0010taa-2017-0010On The Jacobsthal-Padovan p-Sequences in GroupsAküzüm Yesim0Deveci Ömür1Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100, TurkeyDepartment of Mathematics, Faculty of Science and Letters, Kafkas University 36100, TurkeyIn [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail. Furthermore, we obtain the lengths of the periods of the Jacobsthal-Padovan p-orbits of the Fox groups G1,l for l ≥ 3 as applications of the results.https://doi.org/10.1515/taa-2017-0010jacobsthal-padovan p-orbitgroupperiod11k3120f0520d6011b39 |
| spellingShingle | Aküzüm Yesim Deveci Ömür On The Jacobsthal-Padovan p-Sequences in Groups Topological Algebra and its Applications jacobsthal-padovan p-orbit group period 11k31 20f05 20d60 11b39 |
| title | On The Jacobsthal-Padovan p-Sequences in Groups |
| title_full | On The Jacobsthal-Padovan p-Sequences in Groups |
| title_fullStr | On The Jacobsthal-Padovan p-Sequences in Groups |
| title_full_unstemmed | On The Jacobsthal-Padovan p-Sequences in Groups |
| title_short | On The Jacobsthal-Padovan p-Sequences in Groups |
| title_sort | on the jacobsthal padovan p sequences in groups |
| topic | jacobsthal-padovan p-orbit group period 11k31 20f05 20d60 11b39 |
| url | https://doi.org/10.1515/taa-2017-0010 |
| work_keys_str_mv | AT akuzumyesim onthejacobsthalpadovanpsequencesingroups AT deveciomur onthejacobsthalpadovanpsequencesingroups |