COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P۲

The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since ۱۹۹۲. 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 ۳ and exponent p has been done in ۲۰۰۴ by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class ۳ and exponent p۲. This completes the study of Fibonacci length of all p-groups of order p۴, proving that the Fibonacci length is k(p۲).

Keywords:

Fibonacci length , p-groups , Nilpotency class۳