5 citations · 11 across the 5 of their papers we have counts for
5 papers
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,…
Finitely Generated Groups such that
Mariana Cornelissen, César Polcino Milies
Finite groups such that where denotes a cyclic group of order 2 and is the center of were studied in \cite{casofinito} and were…
Oriented Involutions, Symmetric and Skew-Symmetric Elements in Group Rings
Edgar G. Goodaire, Cesar Polcino Milies
Let be a group with involution * and a group homomorphism. The map that sends in a group ring to i…
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…
Antisymmetric Elements in Group Rings II
O. Broche, E. Jespers, C. Polcino Milies +1
Let be a commutative ring, a group and its group ring. Let $\vp : RG\to RG$ denote the -linear extension of an involution $\vp$ defined on . An element in $R…