*The conjugacy class and conjugacy class graph of crystallographic point groups of order 12 and above / Mohd Halimi Ab Hamid.*Mathematical Sciences and Informatics Journal (MIJ), 2 (1). pp. 1-8. ISSN 2735-0703

## Abstract

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.

## Metadata

Item Type: | Article |
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Creators: | Creators Email / ID Num. Ab Hamid, Mohd Halimi halimi@uitm.edu.my |

Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > Algebra Q Science > QA Mathematics > Algebra > Combinatorics. Combinatorial analysis |

Divisions: | Universiti Teknologi MARA, Perak > Tapah Campus > Faculty of Computer and Mathematical Sciences |

Journal or Publication Title: | Mathematical Sciences and Informatics Journal (MIJ) |

UiTM Journal Collections: | UiTM Journal > Mathematical Science and Information Journal (MIJ) |

ISSN: | 2735-0703 |

Volume: | 2 |

Number: | 1 |

Page Range: | pp. 1-8 |

Keywords: | Conjugacy class; Conjugacy class graph; Crystallographic point group; Symmetry |

Date: | May 2021 |

URI: | https://ir.uitm.edu.my/id/eprint/61437 |