2 citations · 3 across the 5 of their papers we have counts for
6 papers
On decidable algebraic fields
Moshe Jarden, Alexandra Shlapentokh
We prove the following propositions. Theorem 1: Let be a subfield of a fixed algebraic closure $\tilde \Q$ of $\Q$ whose existential elementary theory is decidable (resp. primi…
The Sylow subgroups of the absolute Galois group Gal(Q)
Lior Bary-Soroker, Moshe Jarden, Danny Neftin
We describe the Sylow subgroups of Gal(Q) for an odd prime p, by observing and studying their decomposition as a semidirect product of Z_p acting on F, where F is a free pro-p grou…
On the Bateman-Horm Conjecture about Polynomial Rings
Lior Bary-Soroker, Moshe Jarden
Given a power of a prime number and "nice" polynomials $f_1,...,f_r\in\bbF_q[T,X]$ with if , we establish an asymptotic formula for the number of pairs $(a_1,a_2…
PAC Fields over Finitely Generated Fields
Lior Bary-Soroker, Moshe Jarden
We prove the following theorem for a finitely generated field : Let be a Galois extension of which is not separably closed. Then is not PAC over .
Projective group structures as absolute Galois structures with block approximation
Dan Haran, Moshe Jarden, Florian Pop
Field Arithmetic studies the interplay between arithmetical properties of fields and their absolute Galois groups. Here we studies fields satisfying local global principles for rat…
Free product of absolute Galois groups
Dan Haran, Moshe Jarden, Jochen Koenigsmann
The free profinite product of finitely many absolute Galois group is an absolute Galois group.