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- Osnel Broche, Ángel del Río
- Finite Fields and Their Applications
- 2007

We show a method to effectively compute the Wedderburn decomposition and the primitive central idempotents of a semisimple finite group algebra of an abelian-by-supersolvable group G from certain pairs of subgroups of G. In this paper F = Fq denotes a finite field with q elements and G is a finite group of order n such that FG is semisimple, or equivalently… (More)

Let R be a commutative ring, G a group and RG its group ring. Let φ : RG → RG denote the R-linear extension of an involution φ defined on G. An element x in RG is said to be φantisymmetric if φ(x) = −x. A characterization is given of when the φ-antisymmetric elements of RG commute. This is a completion of earlier work. keywords: Involution; group ring;… (More)

- O. Broche Cristo, Eric Jespers, Manuel Ruiz, O. Broche, E. Jespers, M. Ruiz
- 2008

Let R be a commutative ring, G a group and RG its group ring. Let φσ : RG → RG denote the involution defined by φσ( ∑

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