TY - JOUR
AU - AB Hamid, Mohd Halimi
PY - 2021
TI - The Conjugacy Class and Conjugacy Class Graph of Crystallographic Point Groups of Order 12 and Above
JF - Mathematical Sciences and Informatics Journal; Vol 2 No 1 (2021)
DO - 10.24191/mij.v2i1.12973
KW -
N2 - In chemistry, crystallographic point group is a set of algebraic groups that maintains at least one point in a fixed position while placing certain restrictions on the rotational symmetries. In this research, the application of group theory and graph theory to the symmetry study of a molecule is presented where the conjugacy classes and conjugacy class graphs of crystallographic point groups of order 12 and above are determined. Conjugacy class is a way of classifying the elements of a group such that two elements a and b are conjugate if there exists an element x and given that xax -1 = b . The conjugacy classes obtained are then used to determine the conjugacy class graph in which their vertex set is the set of non-central classes of a group, that is the vertices are connected if the greatest common divisor of the cardinalities of the corresponding vertices is more than one
UR - https://myjms.mohe.gov.my/index.php/mij/article/view/12973