Fibonacci lengths of all finite $p$-groups of exponent $p^2$

• Date: 2013
• Main Authors: Ahmadi, B., Doostie, H., Ахмаді, Б., Доостіе, Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2444
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The Fibonacci lengths of finite p-groups were studied by Dikici and coauthors since 1992. All considered groups are of exponent $p$ and the lengths depend on the Wall number $k(p)$. The p-groups of nilpotency class 3 and exponent $p$ were studied in 2004 also by Dikici. In the paper, we study all $p...