4 papers
An intrinsical description of group codes
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
A (left) group code of length n is a linear code which is the image of a (left) ideal of a group algebra via an isomorphism from FG to Fn which maps G to the standard basis of Fn.…
On the Modular Isomorphism Problem for 2-generated groups with cyclic derived subgroup
Diego García-Lucas, Ángel del Río
We continue the analysis of the Modular Isomorphism Problem for -generated -groups with cyclic derived subgroup, , started in [D. García-Lucas, Á. del Río, and M. Stanoj…
The isomorphism problem for rational group algebras of finite metacyclic groups
Ángel del Río, Àngel García-Blázquez
We prove that if two finite metacyclic groups have isomorphic rational group algebras, then they are isomorphic. This contributes to understand where is the line separating positiv…
A reduction theorem for the isomorphism problem of group algebras over fields
Diego García-Lucas, Ángel del Río
We prove that the isomorphism problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the modular isomorphism problem reduces…