Dihedral Groups as Epimorphic Imagesof Some Fibonacci Groups

Sultan Qaboos University Journal for Science

Bashir Ali¹  Abdullahi Umar² 

[1] Department of Mathematics and Computer Science, Nigerian Defence Academy, Kaduna – Nigeria;Department of Mathematics and Statistics, Sultan Qaboos University,Al-Khod, PC 123 – Oman;

关键词: Group;    Fibonacci group;    Dihedral group;    (homo) Morphism.;   

DOI  :  10.24200/squjs.vol18iss0pp54-59

来源: DOAJ

【 摘 要 】

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 .

【 授权许可】

Unknown