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 |