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Zbl 1083.20031
Doostie, H.; Hashemi, M.
Fibonacci lengths involving the Wall number $k(n)$. (English)
[J] J. Appl. Math. Comput. 20, No. 1-2, 171-180 (2006). ISSN 1598-5865; ISSN 1865-2085/e

Summary: Two infinite classes of special finite groups are considered. (The group $G$ is special, if $G'$ and $Z(G)$ coincide.) Using certain sequences of numbers we give explicit formulas for the Fibonacci lengths of these classes which involve the well-known Wall numbers $k(n)$.

MSC 2000:: *20F05 Presentations of groups
11B39 Special numbers, etc.
20D60 Arithmetic and combinatorial problems on finite groups

Keywords: Fibonacci lengths; Fibonacci sequences; finite special groups; Fibonacci orbits; Wall numbers

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