10 citations · 23 across the 5 of their papers we have counts for
Showing 2003Show all
2 papers · 1 filter
math.NT2003
Galois embedding problems with cyclic quotient of order p
Jan Minac, John Swallow
Let K/F be a cyclic field extension of odd prime degree. We consider Galois embedding problems involving Galois groups with common quotient Gal(K/F) such that corresponding normal…
math.RA2003
Brauer groups of genus zero extensions of number fields
Jack Sonn, John Swallow
We determine the isomorphism class of the Brauer groups of certain nonrational genus zero extensions of number fields. In particular, for all genus zero extensions E of the rationa…