✦ LIBER ✦

On Bases of Groups of Circular Units of Some Imaginary Abelian Number Fields

✍ Scribed by Kazuhiro Dohmae

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 820 KB
Volume: 61
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0153

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✦ Synopsis

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.

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