Local Fields pp 164-178 | Cite as

Class Formations

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 67)


The notion of class formation was introduced by Artin-Tate [8] after earlier work by Weil [67] and by Hochschild-Nakayama [36]. This notion clarifies the cohomological aspect of class field theory, both in the local and the global cases. The present chapter is restricted to the main properties of class formations; the reader will find in Artin-Tate [8] further developments (the Šafarevič theorem, Weil groups).


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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParisFrance

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