L. Nuez

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math.GR2026

Average Numbers of Homomorphisms to Random Modules over Free Group Algebras

J. de la Nuez González, Andrei Jaikin-Zapirain

Let $F$ be a finitely generated free group, and let $L$ be a finitely presented $F_{q} [F]$ -module. We study the average number $Λ_{L} (n)$ of $F_{q} [F]$ -module homomorph…

math.GR2026

A simple acylindrical recipe for non-split characteristic $2$ sharply $k$ -transitive actions and their generalizations

J de la Nuez Gonzalez

We provide a fairly simple list of conditions on a group $G$ acting acylindrically on a $δ$ -hyperbolic metric space implying that the group admits an action on a set that is $k$ -sh…

math.GR2025

Elementary equivalence and diffeomorphism groups of smooth manifolds

Sang-hyun Kim, Thomas Koberda, J. de la Nuez González

Let $M$ and $N$ be smooth manifolds, with $M$ closed and connected. If the $C^{r}$ --diffeomorphism group of $M$ is elementarily equivalent to the $C^{s}$ --diffeomorphism group of $N$ f…

Average Numbers of Homomorphisms to Random Modules over Free Group Algebras

A simple acylindrical recipe for non-split characteristic 2 sharply k-transitive actions and their generalizations

Elementary equivalence and diffeomorphism groups of smooth manifolds

A simple acylindrical recipe for non-split characteristic $2$ sharply $k$ -transitive actions and their generalizations