Abstract
In the last chapter we studied the ideal class groups in a Z p -extension of a number field. Here we shall consider especially the cyclotomic Z p -extension, and then Kummer extensions above it, as in Iwasawa [Iw 12], obtained by adjoining pnth roots of units, p-units, and ideal classes of p-power order.
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© 1978 Springer-Verlag, New York Inc.
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Lang, S. (1978). Kummer Theory over Cyclotomic Z p -extensions. In: Cyclotomic Fields. Graduate Texts in Mathematics, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9945-5_6
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DOI: https://doi.org/10.1007/978-1-4612-9945-5_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9947-9
Online ISBN: 978-1-4612-9945-5
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