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June 1, 2001Nagoya Mathematical JournalOpen Access

The 2-Ideal Class Groups of ℚ(ζl)

Pietro Cornacchia

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Abstract

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.

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Pietro Cornacchia (2001) studied this question.

synapsesocial.com/papers/6aa6e8d85becb0bc28eee3b2 https://doi.org/10.1017/s0027763000007777

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