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.

Abstract: 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)