# IRREDUCIBLE REPRESENTATIONS OF SOME METACYCLIC GROUPS WITH AN APPLICATION

• Sim, Hyo-Seob (Department of Applied Mathematics, Pukyong National University)
• Received : 2016.12.19
• Accepted : 2016.12.23
• Published : 2017.01.31

#### Abstract

Motivated by the problem of determining all right ideals of a group algebra FG for a finite group G over a finite field F, we explicitly determine the faithful irreducible representations of some finite metacylic groups over finite fields. By using that result, we determine the structure of all right ideals of the group algebra for the symmetric group $S_3$ over a finite field F, as an example.

#### Acknowledgement

Supported by : Pukyong National University

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