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On p-Class Groups and p-Class Field Towers

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Abstract

Now we apply the results of Chapter 11 to the p-class group, i.e., the p-Sylow subgroup of the ideal class group, and to the p-class field tower, that is, the maximal unramified p-extension. We restrict ourselves to algebraic number fields.

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© 2002 Springer-Verlag Berlin Heidelberg

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Koch, H. (2002). On p-Class Groups and p-Class Field Towers. In: Galois Theory of p-Extensions. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04967-9_13

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  • DOI: https://doi.org/10.1007/978-3-662-04967-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07817-0

  • Online ISBN: 978-3-662-04967-9

  • eBook Packages: Springer Book Archive

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