We give a method to obtain the primitive central idempotent of the rational group algebra ℚ
G over a finite group G associated to a monomial irreducible character which does not …

In this article, we show explicitly all central irreducible idempotents and their Wedderburn
decomposition of the dihedral group algebra F q D 2 n, in the case when every divisor of n …

Wedderburn decomposition of finite group algebras Page 1 Finite Fields and Their Applications
13 (2007) 71–79 http://www.elsevier.com/locate/ffa Wedderburn decomposition of finite group …

Algorithms to construct minimal left group codes are provided. These are based on results
describing a complete set of orthogonal primitive idempotents in each Wedderburn …

We give an explicit and character-free construction of a complete set of orthogonal primitive
idempotents of a rational group algebra of a finite nilpotent group and a full description of the …

Let G be a finite Abelian group and \BBF a field such that \rmchar(\BBF) does not divide |G|.
Denote by \BBFG the group algebra of G over \BBF. A (semisimple) Abelian code is an ideal …

In this paper, a complete irredundant set of a class of strong Shoda pairs of a finite group G
is computed. The algebraic structure of the rational group algebra of a normally monomial …

Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents
Page 1 Finite Fields and Their Applications 17 (2011) 157–165 Contents lists available at …

Group algebras have been used in the context of Coding Theory since the beginning of the
latter, but not in its full power. The article of Ferraz and Polcino Milies entitled Idempotents in …

Given a group G of order p 1 p 2, where p 1, p 2 are primes, and F_q, a finite field of order q
coprime to p 1 p 2, the object of this paper is to compute a complete set of primitive central …