Open AccessThe Cyclic Groups via Bezout Matrices
Author(s) -
Ömür Devecı,
Yeşim Aküzüm,
Erdal Karaduman,
Özgür Erdağ
Publication year - 2015
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v7n2p34
Subject(s) - mathematics , modulo , multiplicative function , order (exchange) , combinatorics , fibonacci number , arithmetic , mathematical analysis , finance , economics
In this paper, we define the Bezout matrices by the aid of the characteristic polynomials of the k -step Fibonacci, the generalized order- k Pell and the generalized order- k Jacobsthal sequences then we consider the multiplicative orders of the Bezout matrices when read modulo m . Consequently, we obtain the rules for the order of the cyclic groups by reducing the Bezout matrices modulo m .