Makale
Tam Makale
Uluslararası
2012
The cyclic groups via the Pascal matrices and the generalized Pascal matrices
LINEAR ALGEBRA AND ITS APPLICATIONS
Cilt 437 · Sayı 10 · ss. 2538–2545 · 15.11.2012
Özet
In this paper, given a positive integer m, we consider the multiplicative order of upper and lower triangular matrices and symmetric matrices derived from Pascal's triangle when read modulo m. We also consider the corresponding problems when the binomial coefficients, ((j)(j)), are replaced by x(i-j)((j)(j)) and x(i+j)((j)(j)), where x is an integer satisfying certain divisibility hypotheses. We also offer some open conjectures on these orders. (C) 2012 Elsevier Inc. All rights reserved.
Anahtar kelimeler
Cyclic group
Multiplicative order
Pascal matrix
Atıf için künye
DEVECİ, Ö., & Karaduman, E. (2012). The cyclic groups via the Pascal matrices and the generalized Pascal matrices. LINEAR ALGEBRA AND ITS APPLICATIONS, 437(10), 2538–2545. https://doi.org/10.1016/j.laa.2012.06.024
BibTeX
@article{deveci2012-73603,
author = {DEVECİ, ÖMÜR and Karaduman, Erdal},
title = {The cyclic groups via the Pascal matrices and the generalized Pascal matrices},
journal = {LINEAR ALGEBRA AND ITS APPLICATIONS},
year = {2012},
volume = {437},
number = {10},
pages = {2538--2545},
issn = {0024-3795},
doi = {10.1016/j.laa.2012.06.024},
url = {https://akademik.atauni.edu.tr/yayinlar/73603-the-cyclic-groups-via-the-pascal-matrices-and-the-generalized-pascal-matrices}
}