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Matrices of rational numbers, state group realizations and straight bases of abelian groups

✍ Scribed by Harald K. wimmer


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
470 KB
Volume
7
Category
Article
ISSN
0167-6911

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πŸ“œ SIMILAR VOLUMES


On Bases of Groups of Circular Units of
✍ Kazuhiro Dohmae πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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
✍ 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