M. Shusterman

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math.GR2026

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Discrete Groups

Tal Cohen, Mark Shusterman

We prove the Virtual Surjection Conjecture for discrete groups, both for property $F_{n}$ and for property $F P_{n}$ : given a product of groups of type $F_{k}$ (respectively $F P_{k}$ ),…

math.GR2026

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Profinite Groups

Tal Cohen, Mark Shusterman

We prove the Virtual Surjection Conjecture for profinite groups. Namely, given a product of $n$ profinite $FP_{k}$ groups, a subgroup that virtually surjects onto $k$ -tupl…

math.GR2026

Subgroups with all finite lifts isomorphic are conjugate

Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2

We show that for non-conjugate subgroups $G_{1}$ and $G_{2}$ of a finite group $G$ there exists an extension of $G$ (by a finite group) in which the pre-images of $G_{1}$ and $G_{2}$ are n…

Virtual Surjection and the n-(n+1)-(n+2) Theorem for Discrete Groups

Virtual Surjection and the n-(n+1)-(n+2) Theorem for Profinite Groups

Subgroups with all finite lifts isomorphic are conjugate

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Discrete Groups

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Profinite Groups