Structure of Finite dihedral group algebra

Abstract

In this article, we show the relation between the irreducible idempotents of the cyclic group algebra ${\mathbb{F}}_q{C}_n$ and the central irreducible idempotents of the group algebras ${\mathbb{F}}_q{D}_{2n}$, where ${\mathbb{F}}_q$ is a finite field with $q$ elements and $D_{2n}$ is the dihedral group of order $2n$, where $\gcd (q,n)=1$.

References in corpus (1)

• Explicit idempotents of finite group algebras

Cited by in corpus (2)

• Some properties of dihedral group codes
• Dihedral Quantum Codes