TY - JOUR
AU - Taufan, Muhammad
AU - Romdhini, Mamika Ujianita
AU - Switrayni, Ni Wayan
PY - 2018/06/30
Y2 - 2024/04/19
TI - Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga
JF - EIGEN MATHEMATICS JOURNAL
JA - EMJ
VL - 1
IS - 1
SE - Articles
DO - 10.29303/emj.v1i1.10
UR - https://eigen.unram.ac.id/index.php/eigen/article/view/10
SP - 31-34
AB - <p>Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphism</p><p align="center">A : G → GL<sub>m</sub>(K)</p>Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2.
ER -