%0 Journal Article
%T COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2
%J International Journal of Mathematical Modelling & Computations
%I Islamic Azad University, Central tehran Branch
%Z 2228-6225
%A Ahmadi, B.
%A Doostie, H.
%D 2016
%\ 03/20/2016
%V 2
%N 2 (SPRING)
%P 111-120
%! COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2
%K Fibonacci length
%K $p$-groups
%K Nilpotency class3
%R
%X The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent p, and the lengths depend on the celebrated Wall number k(p). The study of p-groups of nilpotency class 3 and exponent p has been done in 2004 by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class 3 and exponent p2. This completes the study of Fibonacci length of all $p$-groups of order p4, proving that the Fibonacci length is k(p2).
%U http://ijm2c.iauctb.ac.ir/article_521791_db64c9588025d6bf52325f4fee0eca98.pdf