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On a cyclotomic unit and related products

โœ Scribed by David M. Bressoud

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
250 KB
Volume
38
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

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We study Galois relations between certain sets of cyclotomic numbers in real abelian fields. In one class of cases, a complete set of Galois generators for these relations is determined. These results are used to study the group of cyclotomic \(p\)-units introduced in [So]. In particular, the latter

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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