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math.RT2023
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…
math.RT2012★ 1 cited
Zassenhaus conjecture for cyclic-by-abelian groups
Mauricio Caicedo, Leo Margolis, Ángel del Río
Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units…
math.RT2006
Every projective Schur algebra is Brauer equivalent to a radical abelian algebra
Eli Aljadeff, Ángel del Río
We prove that any projective Schur algebra over a field is equivalent in to a radical abelian algebra. This was conjectured in 1995 by Sonn and the first author of this…