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On the Galois Cohomology Group of the Ring of Integers in a Global Field and its Adele Ring
Published online by Cambridge University Press: 22 January 2016
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By a global field we mean a field which is either an algebraic number field, or an algebraic function field in one variable over a finite constant field. The purpose of the present note is to show that the Galois cohomology group of the ring of integers of a global field is isomorphic to that of the ring of integers of its adele ring and is reduced to asking for that of the ring of local integers.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1968
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