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- W2554007565 abstract "Let k be a real quadratic number field with 2-class group C2(k) isomorphic to Z/2mZxZ/2nZ, m≥1, n≥2, and let k1 be the Hilbert 2-class field of k. We give complete criteria for C2(k1) to be cyclic when either dk, the discriminant of k, is divisible by only positive prime discriminants, or when the 2-class number of k1 is greater than 2, and partial criteria for C2(k1) to be elementary cyclic when dk is divisible by a negative prime discriminant." @default.
- W2554007565 created "2016-11-30" @default.
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- W2554007565 date "2017-04-01" @default.
- W2554007565 modified "2023-10-16" @default.
- W2554007565 title "Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group" @default.
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- W2554007565 doi "https://doi.org/10.1016/j.jnt.2016.09.030" @default.
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