# Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices

Document Type : Research Article

Authors

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

Abstract

In this paper, we consider the 2-generator $p$-groups of nilpotency class 2.  We  find the Fibonacci length and the period of the generalized order $k$--Pell sequences of these groups.

Keywords