A subgraph of conjugacy class graph of finite groups
Abstract
Let G be a finite group and let G* be the set of elements of prime power order of G. Let Г(G*) denote the prime graph built on the set of conjugacy class sizes of G*. In this paper, we consider the situation when Г(G*) has some special vertices, and our aim is to investigate the influence of this property on the group structure of G. Mathematics Subject Classification: 20D15, 20E45
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- The Conjugacy Class and Conjugacy Class Graph of Crystallographic Point Groups of Order 12 and Above ↗
FSKM, UiTM SEGAMAT, JOHOR, Mohd Halimi AB Hamid · Mathematical Sciences and Informatics Journal · 2021
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…
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