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On the computation of units and class numbers by a generalization of Lagrange's algorithm

✍ Scribed by Johannes Buchmann


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
926 KB
Volume
26
Category
Article
ISSN
0022-314X

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On the Cyclotomic Unit Group and the Ide
✍ Manabu Ozaki πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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