Abstract

Irreducible representation is the nucleus of a character table and is of great importance in chemistry. This paper focuses on finite metacyclic groups and their irreducible representation. This study aims to find out the irreducible representation of finite metacyclic groups of class two and finite metacyclic group of class at least three of negative type that can have order 16 by using Burnside method. Keywords : Irreducible representation; finite metacyclic groups; Burnside method. 2010 Mathematics Subject Classification 20G05; 20C99

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