๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the units of cubic fields

โœ Scribed by Harold N. Shapiro; Gerson H. Sparer


Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
623 KB
Volume
26
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES


On the Units of Algebraic Number Fields
โœ I. Yamaguchi; H. Takeuchi ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

Let \(K\) be an algebraic number field and \(k\) be a proper subfield of \(K\). Then we have the relations between the relative degree \([K: k]\) and the increase of the rank of the unit groups. Especially, in the case of \(m\) th cyclotomic field \(Q\left(\zeta_{m}\right)\), we determine the number

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In this note, we extend the Uchida Washington construction of the simplest cubic fields with class numbers divisible by a given rational integer, to the wildly ramified case, which was previously excluded.