On the Brauer group of Z

Robert Alan Morris

Vol. 39 (1971), No. 3, 619–630

DOI: 10.2140/pjm.1971.39.619

Abstract

Two dimensional Amitsur cohomology is computed for certain rings of quadratic algebraic integers. Together with computations of Picard groups, this yields information on the Brauer group B(S∕Z), for S quadratic algebraic integers, without resort to class field theory.

Mathematical Subject Classification

Primary: 13A20

Milestones

Received: 14 December 1970

Revised: 31 March 1971

Published: 1 December 1971