Dihedral Groups as Epimorphic Images of Some Fibonacci Groups

Abdullahi Umar, Bashir Ali


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 .


Group; Fibonacci group; Dihedral group; (homo) Morphism.

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DOI: http://dx.doi.org/10.24200/squjs.vol18iss0pp54-59


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