John H. Castillo

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20122022

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math.RA2022

On Duo, Reversible and Symmetric Group Rings

Brayan S. Flórez-Burbano, Alexander Holguín-Villa, John H. Castillo

Let $R G$ denote the group ring of the torsion group $G$ over a commutative ring $R$ with identity. In this paper we present proofs of some statements that appear without to be prov…

math.RA2019

Normal group algebras

Alexander Holguín-Villa, John H. Castillo

Let $F G$ denote the group algebra of the group $G$ over the field $F$ with $c ha r (F) \neq = 2$ . Given both a homomorphism $σ : G \to {\pm 1}$ and a gro…

math.RA2012

Lie nilpotency indices of symmetric elements under oriented involutions in group algebras

John H. Castillo

Let $G$ be a group and let $F$ be a field of characteristic different from 2. Denote by $(F G)^{+}$ the set of symmetric elements and by $U^{+} (F G)$ the set of symmetric units…