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Remarks on unit indices of imaginary abelian number fields II

โœ Scribed by Mikihito Hirabayashi; Ken-ichi Yoshino

Book ID
105099972
Publisher
Springer
Year
1989
Tongue
English
Weight
535 KB
Volume
64
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

On Bases of Groups of Circular Units of
On Bases of Groups of Circular Units of Some Imaginary Abelian Number Fields
โœ Kazuhiro Dohmae ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 820 KB

Let k be an imaginary abelian number field whose conductor has at most two distinct prime divisors and whose maximal subfields which are ramified at one prime are imaginary. We shall find a basis for the group C of circular units in k and compute the index of C in the group E of units in k.

On the Cyclotomic Unit Group and the Ide
On the Cyclotomic Unit Group and the Ideal Class Group of a Real Abelian Number Field II
โœ Manabu Ozaki ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1001 KB

Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient