%0 Journal Article
%T Fibonacci Length of an Efficiently Presented Metabelian p-Group
%A K. Ahmadidelir
%A H. Doostie
%A M. Maghasedi
%J Mathematical Sciences Quarterly Journal
%D 2011
%I Springer
%X For every integer $ngeqslant 1$ and every odd prime $p$, anefficient presentation is given for the wreath product$mathbb{Z}_pwr mathbb{Z}_{p^n}$ which, is of nilpotency class$(p-1)n+1$. Moreover, the Fibonacci length is proved to be$8 imes 3^n$ when $p=3$, and in general, $k(p) imes p^n$, where$k(p)$ is the period of Fibonacci length modulo $p$ (the Wallnumber of $p$).
%K Presentation of groups
%K Efficient presentation
%K Schur multiplier
%K Fibonacci length.
%U http://mathscience.kiau.ac.ir/Content/Vol5No1/8.pdf