COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2

International Journal of Mathematical Modelling & Computations

مقاله 3، دوره 2، 2 (SPRING)، فروردین 2012، صفحه 111-120   

نویسندگان

B. Ahmadi¹؛ H. Doostie²

¹Mathematics Department, Science and Research Branch, Islamic Azad University, Tehran, Iran. Iran, Islamic Republic of Professor of Mathematics,

²Lecturer, Lahijan Islamic Azad University, Lahijan, Iran Iran, Islamic Republic of Lecturere, Ph.D. Student (at present).

چکیده

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).
 

کلیدواژه‌ها

Fibonacci length؛ $p$-groups؛ Nilpotency class3