Abstract
Local and global class field theory, as well as a series of further theories for which the name class field theory is similarly justified, have the following principle in common. All of these theories involve a canonical bijective correspondence between the abelian extensions of a field K and certain subgroups of a corresponding module AK associated with the field K.
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© 2013 Springer-Verlag Berlin Heidelberg
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Neukirch, J. (2013). Part II Local Class Field Theory. In: Class Field Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35437-3_2
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DOI: https://doi.org/10.1007/978-3-642-35437-3_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35436-6
Online ISBN: 978-3-642-35437-3
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