Abstract
For prime $l$ we study the structure of the $2$-part of the ideal class group Cl of $\,\mathbb{Q}(\zeta_l)$. We prove that Cl$\, \otimes \,{\mathbb {Z}}_2$ is a cyclic Galois module for all $l < 10000$ with one exception and compute the explicit structure in several cases.
Citation
Pietro Cornacchia. "The 2-ideal class groups of $\Bbb Q(\zeta\sb l)$." Nagoya Math. J. 162 1 - 18, 2001.
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