Skip to main content
Log in

Fibonacci lengths involving the wall number k(n)

  • Published:
Journal of Applied Mathematics and Computing Aims and scope Submit manuscript

Abstract

Two infinite classes of special finite groups considered (The groupG is special, ifG’ andZ(G) coincide). Using certain sequences of numbers we give explicit formulas for the Fibonacci lenghts of these classes which involve the well-known Wall numbers k(n).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ali Reza Ashrafi,Counting the centralizers of some finite groups, J. Appl. Math. & Computing,7 (2000), 115–124.

    MATH  MathSciNet  Google Scholar 

  2. H. Aydin and G. C. Smith,Finite p-quotients of some cyclically presented groups, J. London Math. Soc.49 (1994), 83–92.

    MATH  MathSciNet  Google Scholar 

  3. M. J. Beetham and C. M. Campbell,A note on the Todd-Coxeter coset enumeration algorithm, Proc. Edinburgh Math. Soc.20 (1976), 73–79.

    Article  MATH  MathSciNet  Google Scholar 

  4. C. M. Campbell, H. Doostie and E. F. Robertson,Fibonacci length of generating pairs in groups, in: Applications of Fibonacci numbers, G. A. Bergumet (eds.), Vol. 5, 1990, 27-35.

  5. C. M. Campbell, P. P. Campbel, H. Doostie and E. F. Robertson,Fibonacci length for certain metacyclic group, Algebra Colloquium11 (2) (2004), 215–222.

    MATH  MathSciNet  Google Scholar 

  6. H. Doostie,Fibonacci-type sequences and classes of groups, Ph. D. Thesis, The University of St. Andrews, Scotland, 1988.

    Google Scholar 

  7. H. Doostie and R. Golamie,Computing on the Fibonacci lengths of finite groups, Internat. J. Appl. Math.4 (2000), 149–156.

    MathSciNet  Google Scholar 

  8. Ali-Reza Jamali,Deficiency zero non-metacyclic p-groups of order less than 1000, J. Appl. Math. & Computing,16 (2004), 303–306.

    MATH  MathSciNet  Google Scholar 

  9. D. D. Wall,Fibonacci series modulo m, Amer. Math. Monthly67 (1960), 525–532.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Doostie.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Doostie, H., Hashemi, M. Fibonacci lengths involving the wall number k(n). J. Appl. Math. Comput. 20, 171–180 (2006). https://doi.org/10.1007/BF02831931

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02831931

AMS Mathematics Subject Classification

Key words and phrases

Navigation