University of GuilanJournal of Mathematical Modeling2345-394X10120220101Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices161172491610.22124/jmm.2021.18678.1597ENMansoorHashemiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan,
Rasht, Iran.ElaheMehrabanDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan,
Rasht, Iran.Journal Article20210119In 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.https://jmm.guilan.ac.ir/article_4916_14f18658cbb403e3ee8c63d62fe81496.pdf