14:00-15:30, Room LB921-4, 9th floor Library Building, Concordia
Jack Sonn (Technion)
Abelian extensions of global fields with all
local degrees equal to n and the n-torsion subgroup of the Brauer group.
Let K be a global field, n a positive integer. Then there
exists an abelian extension L/K whose local degree at every finite
place of K equals n and whose local degree at every real place of K
equals 2 when n is even. It follows that the n-torsion subgroup of
the Brauer group of K equals the relative Brauer group Br(L/K).
(Joint work with Hershy Kisilevsky)