Abstract
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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© 1979 Springer Science+Business Media New York
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Serre, JP. (1979). Class Formations. In: Local Fields. Graduate Texts in Mathematics, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5673-9_12
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DOI: https://doi.org/10.1007/978-1-4757-5673-9_12
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