Luis Eduardo Garc'ia-Hern'andez

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math.GR2024

Linear and smooth oriented equivalence of orthogonal representations of finite groups

Luis Eduardo García-Hernández, Ben Williams

Let $n \leq 5$ be an integer, and let $Γ$ be a finite group. We prove that if $ρ, ρ^{'} : Γ \to O (n)$ are two representations that are conjugate by an orientation-preserving diffeomorphis…

math.GR2023

The classifying space for commutativity of geometric orientable 3-manifold groups

Omar Antolín-Camarena, Luis Eduardo García-Hernández, Luis Jorge Sánchez Saldaña

For a topological group $G$ let $E_{com} (G)$ be the total space of the universal transitionally commutative principal $G$ -bundle as defined by Adem--Cohen--Torres-Giese. S…