Stefano Vidussi

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math.GR2025

Higher incoherence of the automorphism groups of a free group

Stefano Vidussi

Let $F_{n}$ be the free group on $n \geq 2$ generators. We show that for all $1 \leq m \leq 2 n - 3$ (respectively for all $1 \leq m \leq 2 n - 4$ ) there exists a subgroup of $\operatornam…

math.GR2025

On two-generator subgroups of mapping torus groups

Naomi Andrew, Edgar A. Bering, Ilya Kapovich +2

We prove that if $G_{I ¨} = ⟨ F, t ∣ t x t^{- 1} = I ¨ (x), x \in F ⟩$ is the mapping torus group of an injective endomorphism $I ¨ : F \to F$ of a free group $F$ (of possibly infinit…

math.GR2024

Finiteness properties of algebraic fibers of group extensions

Dessislava H. Kochloukova, Stefano Vidussi

This survey describes some recent work, by the authors and others, on the existence of algebraic fibrations of group extensions, as well as the finiteness properties of their algeb…