✦ LIBER ✦

Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number Fields with Elementary 2-Class Group of Rank 3

✍ Scribed by Elliot Benjamin; Charles J. Parry

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 125 KB
Volume: 76
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2361

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✦ Synopsis

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 the Hilbert 2-class field of k.

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