Skip to content

Research at St Andrews

The Fibonacci-Circulant sequences and their applications

Research output: Research - peer-reviewArticle



In this paper, we define the recurrence sequences using the Circulant matrices which are obtained from the characteristic polynomial of the Fibonacci sequence, and then, we give miscellaneous properties of these sequences. In addition, we consider the cyclic groups which are generated by the generating matrices and the auxiliary equations of the defined recurrence sequences, and then, we study the orders of these cyclic groups. Furthermore, we extend the defined sequences to groups. Finally, we obtain the lengths of the periods of the extended sequences in the polyhedral groups (2, 3, 3) and (n, 2, 2) as applications of the results obtained.


Original languageEnglish
Pages (from-to)1033-1038
Number of pages6
JournalIranian Journal of Science and Technology, Transactions A: Science
Issue number4
Early online date1 Nov 2017
StatePublished - 1 Dec 2017

    Research areas

  • Circulant matrix, Sequence, Group, Auxiliary equation, Length

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. The recurrence sequences via polyhedral groups

    Deveci, O., Akuzum, Y. & Campbell, C. M. 2018 In : Commun. Fac. Sci. Univ. Ank. Ser. A1. 67, 2, p. 99-115

    Research output: Research - peer-reviewArticle

  2. Notes on a semigroup related to the dicyclic group Qn

    Sorouhesh, M. R. & Campbell, C. M. 21 Sep 2017 In : Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 25, 2, p. 149-157 9 p.

    Research output: Research - peer-reviewArticle

  3. A sufficient condition for coinciding the Green graphs of semigroups

    Sorouhesh, M., Doostie, H. & Campbell, C. M. 2017 In : Journal of Mathematics and Computer Science. 17, 2, p. 216-219 4 p.

    Research output: Research - peer-reviewArticle

  4. Groups St Andrews 2013

    Campbell, C. M., Robertson, E. F., Quick, M. & Roney-Dougal, C. M. Oct 2015 Cambridge: Cambridge University Press. 500 p. (London Mathematical Society lecture note series ; vol. 422)

    Research output: ResearchBook

  5. All simple groups with order from 1 million to 5 million are efficient

    Robertson, E. F., Campbell, C. M., Havas, G. & Ramsay, C. Mar 2014 In : International Journal of Group Theory. 3, 1, p. 17–30 14 p.

    Research output: Research - peer-reviewArticle

ID: 251708885