M. Shusterman

activity

20152026

most citedNonvanishing of hyperelliptic zeta functions over finite fields

6 citations · 18 across the 19 of their papers we have counts for

collaborators

Showing 2016 · math.GRShow all

5 papers · 2 filters

math.GR2016

Schreier's formula for Prosupersolvable groups

Mark Shusterman

We classify the finitely generated prosupersolvable groups that satisfy Schreier's formula for the number of generators of open subgroups.

math.GR2016

Gradients of sequences of subgroups in a direct product

Nikolay Nikolov, Zvi Shemtov, Mark Shusterman

For a sequence ${U_{n}}_{n = 1}^{\infty}$ of finite index subgroups of a direct product $G = A \times B$ of finitely generated groups, we show that $$\lim_{n \to \infty} \frac{\min\{…

math.GR2016

An axiomatizable profinite group with infinitely many open subgroups of index 2

Or Ben Porath, Mark Shusterman

We show that a profinite group with the same first-order theory as the direct product over all odd primes $p$ of the dihedral group of order $2 p$ , is necessarily isomorphic to this…

math.GR2016

Groups with positive rank gradient and their actions

Mark Shusterman

We show that given a finitely generated LERF group $G$ with positive rank gradient, and finitely generated subgroups $A, B \leq G$ of infinite index, one can find a finite index sub…

math.GR2016

Ascending chains of finitely generated subgroups

Mark Shusterman

We show that a nonempty family of $n$ -generated subgroups of a pro- $p$ group has a maximal element. This suggests that 'Noetherian Induction' can be used to discover new features o…