3 papers
math.NT2017
Galois realizations with inertia groups of order two
Joachim Koenig, Daniel Rabayev, Jack Sonn
There are several variants of the inverse Galois problem which involve restrictions on ramification. In this paper we give sufficient conditions that a given finite group occur…
math.NT2016
Upper bound on the number of ramified primes for odd order solvable groups
Daniel Rabayev
Let be a finite group and let denote the minimal positive integer such that can be realized as the Galois group of a tamely ramified extension of $\mathbb{…
math.NT2010
On Galois realizations of the 2-coverable symmetric and alternating groups
Daniel Rabayev, Jack Sonn
Let f(x) be a monic polynomial in Z[x] with no rational roots but with roots in Q_p for all p, or equivalently, with roots mod n for all n. It is known that f(x) cannot be irreduci…