M. Shusterman

activity

20172022

most citedMöbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields

1 citations · 1 across the 2 of their papers we have counts for

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math.GR2019

The Hanna Neumann conjecture for Demushkin Groups

Andrei Jaikin-Zapirain, Mark Shusterman

We confirm the Hanna Neumann conjecture for topologically finitely generated closed subgroups $U$ and $W$ of a nonsolvable Demushkin group $G$ . Namely, we show that \begin{equation…

math.GR2018

Balanced presentations for fundamental groups of curves over finite fields

Mark Shusterman

We show that the algebraic fundamental group of a smooth projective curve over a finite field admits a finite topological presentation where the number of relations does not exceed…

math.GR2018

Semi-free subgroups of a profinite surface group

Matan Ginzburg, Mark Shusterman

We show that every closed normal subgroup of infinite index in a profinite surface group $Γ$ is contained in a semi-free profinite normal subgroup of $Γ$ . This answers a question o…

math.GR2017

Virtual retraction and Howson's theorem in pro- $p$ groups

Mark Shusterman, Pavel Zalesskii

We show that for every finitely generated closed subgroup $K$ of a non-solvable Demushkin group $G$ , there exists an open subgroup $U$ of $G$ containing $K$ , and a continuous homom…

The Hanna Neumann conjecture for Demushkin Groups

Balanced presentations for fundamental groups of curves over finite fields

Semi-free subgroups of a profinite surface group

Virtual retraction and Howson's theorem in pro-p groups

Virtual retraction and Howson's theorem in pro- $p$ groups