Imaginary quadratic fields k with Cl_2(k) = (2,2^m) and Rank Cl_2(k^1) = 2

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dc.creatorBenjamin, Elliot
dc.creatorLemmermeyer, Franz
dc.creatorSnyder, Chip
dc.date2000-03-27
dc.date.accessioned2026-07-07T04:34:35Z
dc.date.available2026-07-07T04:34:35Z
dc.descriptionWe classify all complex quadratic number fields with 2-class group of type (2,2^m) whose Hilbert 2-class fields have class groups of 2-rank equal to 2. These fields all have 2-class field tower of length 2. We still don't know examples of fields with 2-class field tower of length 3, but the smallest candidate is the field with discriminant -1015.
dc.identifierhttps://arxiv.org/abs/math/0003244
dc.identifierhttp://arxiv.org/abs/math/0003244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58958
dc.subjectNumber Theory
dc.titleImaginary quadratic fields k with Cl_2(k) = (2,2^m) and Rank Cl_2(k^1) = 2
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