@article { author = {Hashemi, Mansoor and Mehraban, Elahe}, title = {Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices}, journal = {Journal of Mathematical Modeling}, volume = {10}, number = {1}, pages = {161-172}, year = {2022}, publisher = {University of Guilan}, issn = {2345-394X}, eissn = {2382-9869}, doi = {10.22124/jmm.2021.18678.1597}, 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 = {Pascal matrix,$t$-extension of the $p$-Fibonacci matrix,factorization of a matrix}, url = {https://jmm.guilan.ac.ir/article_4916.html}, eprint = {https://jmm.guilan.ac.ir/article_4916_14f18658cbb403e3ee8c63d62fe81496.pdf} }