M. Shusterman

collaborators

8 papers

math.RA2026

Non-finitely Presented Lie Algebras of Type $F P_{2}$

Mark Shusterman

Building on work of Kassel--Loday and Zelmanov--Zhang, we show that a Steinberg Lie algebra of the complex group algebra of a (suitable) Bestvina--Brady group is of type $F P_{2}$ and…

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.NT2026

Arithmetic Wu Formulas and the Generalized Hecke Theorem

Shachar Carmeli, Mark Shusterman, Sa'ar Zehavi

We construct canonical Steenrod square operations on the Geisser--Schmidt/Milne modified compactly supported Ã©tale cohomology of separated finite-type schemes over rings of $S$ -in…

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…

math.NT2026

Pro- $ℓ$ -by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem

Ido Karshon, Mark Shusterman

We prove a generalization of the Neukirch-Uchida Theorem. In particular, we show that the isomorphism type of a number field $K$ can be recovered from the maximal pro- $ℓ$ -by-cyc…

Non-finitely Presented Lie Algebras of Type FP2​

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

Arithmetic Wu Formulas and the Generalized Hecke Theorem

Subgroups with all finite lifts isomorphic are conjugate

Pro-ℓ-by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem

Non-finitely Presented Lie Algebras of Type $F P_{2}$

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

Pro- $ℓ$ -by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem