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The 2-Ideal Class Groups of ℚ(ζl)

Published online by Cambridge University Press:  22 January 2016

Pietro Cornacchia
Pietro Cornacchia*
Affiliation:
Corso XXV Aprile 60, 14100 Asti, Italy, [email protected]
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Abstract

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For prime l we study the structure of the 2-part of the ideal class group Cl of ℚ(ζl). We prove that Cl ⊗ ℤ2) is a cyclic Galois module for all l < 10000 with one exception and compute the explicit structure in several cases.

Keywords

11R2911R1811R27
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 162 , June 2001 , pp. 1 - 18
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

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