26 citations · 32 across the 17 of their papers we have counts for
6 papers · 1 filter
On the minimal ramification problem for semiabelian groups
Hershy Kisilevsky, Danny Neftin, Jack Sonn
It is now known that for any prime p and any finite semiabelian p-group G, there exists a (tame) realization of G as a Galois group over the rationals Q with exactly d = d(G) ramif…
Realizability and admissibility under extension of p-adic and number fields
Danny Neftin, Uzi Vishne
A finite group G is K-admissible if there exists a G-crossed product K-division algebra. In this manuscript we study the behavior of admissibility under extensions of number fields…
Admissible groups over two dimensional complete local domains
Danny Neftin, Elad Paran
Let K be the quotient field of a complete local domain of dimension 2 with a separably closed residue field. Let G be a finite group of order not divisible by char(K). Then G is ad…
Admissibility and field relations
Danny Neftin
Let K be a number field. A finite group G is called K-admissible if there exists a G-crossed product K-division algebra. K-admissibility has a necessary condition called K-preadmis…
On semiabelian p-groups
Danny Neftin
The family of semiabelian p-groups is the minimal family that contains {1} and is closed under quotients and semidirect products with finite abelian p-groups. Kisilevsky and Sonn h…
Tamely ramified subfields of division algebras
Danny Neftin
For any number field K, it is unknown which finite groups appear as Galois groups of extensions L/K such that L is a maximal subfield of a division algebra with center K (a K-divis…