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Elliot Benjamin, C Snyder, On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields, The Quarterly Journal of Mathematics, Volume 69, Issue 4, December 2018, Pages 1163–1193, https://doi.org/10.1093/qmath/hay021
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Abstract
We develop elementary properties of metabelian 2-groups and then apply them to obtain information about the rank of the 2-class group of the Hilbert 2-class field of some quadratic number fields.
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