1 A ® M (K) K n ® called the Brauer group A B(K) • forms a In our K B(K) ---+ II v real Z/2 x II v finite gives an injection, and a basic result of class field theory says that the cokernel is isomorphic to fj'll Clearly, each equivalence class contains a single division algebra central over K, and,as a set, B(K) is isomorphic 49 to the set of distinct isomorphism classes of such division algebras.

### Algebraic Topology Waterloo 1978: Proceedings of a Conference Sponsored by the Canadian Mathematical Society, NSERC (Canada), and the University of Waterloo, June 1978 by G. Carlsson, R. James Milgram (auth.), Peter Hoffman, Victor Snaith (eds.)

by Kenneth

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