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An example on computing the irreducible representation of finite metacyclic groups by using Great Orthogonality Theorem Method

Nizar Majeed Samin¹, Nor Haniza Sarmin², Hamisan Rahmat³.

Jurnal Teknologi (Volume 64, No. 1, Sept 2013, Pages 89 to 92)

Times cited: 0

Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This paper focuses on an example of finite metacyclic groups of class two of order 16. The irreducible representation of that group is found by using Great Orthogonality Theorem Method.

Affiliation:

Ministry of Education Malaysia, Malaysia
Universiti Teknologi Malaysia, Malaysia
Universiti Teknologi Malaysia, Malaysia

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An example on computing the irreducible representation of finite metacyclic groups by using Great Orthogonality Theorem Method