5 citations · 8 across the 5 of their papers we have counts for
6 papers
Minimal group codes over alternating groups
Robson Ricardo de Araujo, Francisco Cesar Polcino Milies, Raul Antonio Ferraz
In this work we show that every minimal code in a semisimple group algebra is essential if is a simple group. Since the alternating group is simple if $n=…
Left ideals in matrix rings over finite fields
R. A. Ferraz, C. Polcino Milies, E. Taufer
It is well-known that each left ideals in a matrix rings over a finite field is generated by an idempotent matrix. In this work we compute the number of left ideals in these rings,…
Units of
Raul Antonio Ferraz, Patricia Massae Kitani
Let be a prime integer and be positive integers such that \linebreak generates the…
Minimal Binary Abelian Codes of length
Gladys Chalom, Raul Antônio Ferraz, Marinês Guerreiro +1
We consider binary abelian codes of length , where and are prime rational integers under some restrictive hypotheses. In this case, we determine the idempotents ge…
G-equivalence in group algebras and minimal abelian codes
Raul Antonio Ferraz, Marinês Guerreiro, César Polcino Milies
Let G be a finite abelian group and F a field such that char(F) does not divide |G|. Denote by FG the group algebra of G over F. A (semisimple) abelian code is an ideal of FG. Two…
Semisimple Group (and Loop) Algebras over Finite Fields
Raul A. Ferraz, Edgar G. Goodaire, Cesar Polcino Milies
We determine the structure of the semisimple group algebra of certain groups over the rationals and over those finite fields where the Wedderburn decompositions have the least numb…