COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2

PDF
  • B. Ahmadi1,
  • H. Doostie2,
  1. Mathematics Department, Science and Research Branch, Islamic Azad University, Tehran, Iran. Iran, Islamic Republic of Professor of Mathematics,
  2. Lecturer, Lahijan Islamic Azad University, Lahijan, Iran Iran, Islamic Republic of Lecturere, Ph.D. Student (at present).

Revised: 14-04-2016

Accepted: 14-04-2016

Published in Issue 20-03-2016

How to Cite

Ahmadi, B., & Doostie, H. (2016). COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2. International Journal of Mathematical Modelling & Computations, 2(2), 111-120. http://oiccpress.com/ijm2c/article/view/11149

Abstract

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).
PDF