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On the 4-rank of class groups of quadratic number fields

✍ Scribed by Étienne Fouvry; Jürgen Klüners


Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
589 KB
Volume
167
Category
Article
ISSN
0020-9910

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Refined Lower Bounds on the 2-Class Numb
✍ Elliot Benjamin; Charles J. Parry 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to ZÂ2Z\_ZÂ2Z\_ZÂ2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of