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Galois Relations for Cyclotomic Numbers and p-Units

✍ Scribed by D. Solomon


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
778 KB
Volume
46
Category
Article
ISSN
0022-314X

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✦ Synopsis


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 is shown to be Galois isomorphic to the group of cyclotomic numbers. 1994 Academic Press, Inc.


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