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On the 2-class field tower of(mathbb Q (sqrt{2p_1p_2},i))and the Galois group of its second Hilbert 2-class field

โœ Scribed by Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed


Book ID
120417246
Publisher
Universitat de Barcelona
Year
2013
Tongue
Spanish
Weight
355 KB
Volume
65
Category
Article
ISSN
0010-0757

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Refined Lower Bounds on the 2-Class Numb
โœ Elliot Benjamin; Charles J. Parry ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 Zร‚2Z\_Zร‚2Z\_Zร‚2Z. 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