Dihedral Groups as Epimorphic Images of Some Fibonacci Groups

Authors

Abdullahi Umar, Department of Mathematics and Statistics, Sultan Qaboos University,Al-Khod, PC 123 – Oman
Bashir Ali, Department of Mathematics and Computer Science, Nigerian Defence Academy, Kaduna – Nigeria

Abstract

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 .

Recommended Citation

Umar, Abdullahi and Ali, Bashir (2013) Dihedral Groups as Epimorphic Images of Some Fibonacci Groups, Sultan Qaboos University Journal For Science: Vol. 18: Iss. 1, 54-59.
DOI: https://doi.org/10.24200/squjs.vol18iss0pp54-59
Available at: https://squjs.squ.edu.om/squjs/vol18/iss1/1