Dihedral Groups as Epimorphic Images of Some Fibonacci Groups
The Fibonacci groups are defined by the presentation where , and all subscripts are assumed to be reduced modulo . In this paper we give an alternative proof that for , , and are all infinite by establishing a morphism (or group homomorphism) onto the dihedral group for all .
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sultan Qaboos University
2013-12-01
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| Series: | Sultan Qaboos University Journal for Science |
| Subjects: | |
| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/416 |
| _version_ | 1819267732683620352 |
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| author | Abdullahi Umar Bashir Ali |
| author_facet | Abdullahi Umar Bashir Ali |
| author_sort | Abdullahi Umar |
| collection | DOAJ |
| description | The Fibonacci groups are defined by the presentation where , and all subscripts are assumed to be reduced modulo . In this paper we give an alternative proof that for , , and are all infinite by establishing a morphism (or group homomorphism) onto the dihedral group for all . |
| first_indexed | 2024-12-23T21:21:51Z |
| format | Article |
| id | doaj.art-aaa3307e77a24050965617903e745b7a |
| institution | Directory Open Access Journal |
| issn | 1027-524X 2414-536X |
| language | English |
| last_indexed | 2024-12-23T21:21:51Z |
| publishDate | 2013-12-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Sultan Qaboos University Journal for Science |
| spelling | doaj.art-aaa3307e77a24050965617903e745b7a2022-12-21T17:30:44ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2013-12-01180545910.24200/squjs.vol18iss0pp54-59411Dihedral Groups as Epimorphic Images of Some Fibonacci GroupsAbdullahi Umar0Bashir Ali1Department of Mathematics and Statistics, Sultan Qaboos University,Al-Khod, PC 123 – OmanDepartment of Mathematics and Computer Science, Nigerian Defence Academy, Kaduna – NigeriaThe Fibonacci groups are defined by the presentation where , and all subscripts are assumed to be reduced modulo . In this paper we give an alternative proof that for , , and are all infinite by establishing a morphism (or group homomorphism) onto the dihedral group for all .https://journals.squ.edu.om/index.php/squjs/article/view/416GroupFibonacci groupDihedral group(homo) Morphism. |
| spellingShingle | Abdullahi Umar Bashir Ali Dihedral Groups as Epimorphic Images of Some Fibonacci Groups Sultan Qaboos University Journal for Science Group Fibonacci group Dihedral group (homo) Morphism. |
| title | Dihedral Groups as Epimorphic Images of Some Fibonacci Groups |
| title_full | Dihedral Groups as Epimorphic Images of Some Fibonacci Groups |
| title_fullStr | Dihedral Groups as Epimorphic Images of Some Fibonacci Groups |
| title_full_unstemmed | Dihedral Groups as Epimorphic Images of Some Fibonacci Groups |
| title_short | Dihedral Groups as Epimorphic Images of Some Fibonacci Groups |
| title_sort | dihedral groups as epimorphic images of some fibonacci groups |
| topic | Group Fibonacci group Dihedral group (homo) Morphism. |
| url | https://journals.squ.edu.om/index.php/squjs/article/view/416 |
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