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-groups of nilpotency class 3 and exponent p 2. Thus, we complete the study of Fibonacci lengths of all p-groups of order p 4 by proving that the Fibonacci length is k(p 2).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 603–610, May, 2013.
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Ahmadi, B., Doostie, H. Fibonacci lengths of all finite p-groups of exponent p2 . Ukr Math J 65, 665–673 (2013). https://doi.org/10.1007/s11253-013-0804-8
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DOI: https://doi.org/10.1007/s11253-013-0804-8