COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2
محورهای موضوعی : فصلنامه ریاضی
B. Ahmadi
1
(Mathematics Department, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Iran, Islamic Republic of
Professor of Mathematics,)
H. Doostie
2
(Lecturer, Lahijan Islamic Azad University, Lahijan, Iran
Iran, Islamic Republic of
Lecturere, Ph.D. Student (at present).)
کلید واژه: Fibonacci length, $p$-groups, Nilpotency class3,
چکیده مقاله :
The Fibonacci lengths of the finitep-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponentp, and the lengths depend on the celebrated Wall numberk(p). The study ofp-groups of nilpotency class 3 and exponentphas been done in 2004 by R. Dikici as well. In this paper we study all of thep-groups of nilpotency class 3 and exponentp2. This completes the study of Fibonacci length of all $p$-groups of orderp4, proving that the Fibonacci length isk(p2).
