Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622522 (SPRING)20160320COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2111120521791ENB.AhmadiMathematics Department, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Iran, Islamic Republic of
Professor of Mathematics,H.DoostieLecturer, Lahijan Islamic Azad University, Lahijan, Iran
Iran, Islamic Republic of
Lecturere, Ph.D. Student (at present).Journal Article20160414The Fibonacci lengths of the finite <em>p</em>-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent <em>p</em>, and the lengths depend on the celebrated Wall number <em>k(p)</em>. The study of <em>p</em>-groups of nilpotency class 3 and exponent <em>p</em> has been done in 2004 by R. Dikici as well. In this paper we study all of the <em>p</em>-groups of nilpotency class 3 and exponent <em>p<sup>2</sup></em>. This completes the study of Fibonacci length of all $p$-groups of order <em>p<sup>4</sup></em>, proving that the Fibonacci length is <em>k(p<sup>2</sup>)</em>.
http://ijm2c.iauctb.ac.ir/article_521791_db64c9588025d6bf52325f4fee0eca98.pdf