The conjugacy class and conjugacy class graph of crystallographic point groups of order 12 and above / Mohd Halimi Ab Hamid

• Main Author: Ab Hamid, Mohd Halimi (Author)
• Format: Book
• Published: Universiti Teknologi MARA, Perak, 2021-05.
• Subjects: Article; PeerReviewed
• Online Access: Link Metadata
• Notes: https://ir.uitm.edu.my/id/eprint/61437/1/61437.pdf; The conjugacy class and conjugacy class graph of crystallographic point groups of order 12 and above / Mohd Halimi Ab Hamid. (2021) Mathematical Sciences and Informatics Journal (MIJ) <https://ir.uitm.edu.my/view/publication/Mathematical_Sciences_and_Informatics_Journal_=28MIJ=29/>, 2 (1). pp. 1-8. ISSN 2735-0703
• Keywords: QA Mathematics; Algebra; Combinatorics. Combinatorial analysis

In chemistry, crystallographic point group is a set of algebraic groups that maintains at least one point in a fixed position while placing certain restriction 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 aa and bb 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.