D. Neftin

activity

20092022

most citedAdmissible groups over two dimensional complete local domains

1 citations · 2 across the 4 of their papers we have counts for

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7 papers · 1 filter

math.NT2025

On rational connectedness and parametrization of finite Galois extensions

Daniel Krashen, Danny Neftin

Given two $G$ -Galois extensions of $Q$ , is there an extension of $Q (t)$ that specializes to both? The equivalence relation on $G$ -Galois extension of $Q$ , i…

math.NT2022

Sylow-conjugate number fields

Alexander Lubotzky, Danny Neftin

By a classical result of Neukirch and Uchida, a number field K is determined by the structure of its absolute Galois group Gal(K). We show that K is not determined by the structure…

math.NT2021

On parametric and generic polynomials with one parameter

Pierre Dèbes, Joachim König, François Legrand +1

Given fields $k \subseteq L$ , our results concern one parameter $L$ -parametric polynomials over $k$ , and their relation to generic polynomials. The former are polynomials $P(T,Y) \…

math.NT2020

Symmetric Galois Groups Under Specialization

Tali Monderer, Danny Neftin

Given an irreducible bivariate polynomial $f (t, x) \in Q [t, x]$ , what groups $H$ appear as the Galois group of $f (t_{0}, x)$ for infinitely many $t_{0} \in Q$ ? How often d…

math.NT2019

Unramified extensions over low degree number fields

Joachim König, Danny Neftin, Jack Sonn

For various nonsolvable groups $G$ , we prove the existence of extensions of the rationals $Q$ with Galois group $G$ and inertia groups of order dividing $g e (G)$ , where $ge…

math.NT2018

Rational pullbacks of Galois covers

Pierre Dèbes, Joachim König, François Legrand +1

The finite subgroups of $PGL_{2} (C)$ are shown to be the only finite groups $G$ with this property: for some integer $r_{0}$ (depending on $G$ ), all Galois covers $X\rig…