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Title: On Washington group of circular units of some composita of quadratic fields (English)
Author: Bulant, Michal
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 55
Issue: 1
Year: 2005
Pages: 39-46
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Category: math
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MSC: 11R20
MSC: 11R27
MSC: 11R29
idZBL: Zbl 1108.11082
idMR: MR2178534
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Date available: 2009-09-25T14:24:20Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/133268
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Reference: [1] GOLD R.-KIM J.: Bases for cyclotomic units.Compositio Math. 71 (1989), 13-27. Zbl 0687.12003, MR 1008802
Reference: [2] KUČERA R.: On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field.J. Number Theory 40 (1992), 284-316. Zbl 0744.11052, MR 1154041
Reference: [3] KUČERA R.: On the Stickelberger ideal and circular units of a compositum of quadratic fields.J. Number Theory 56 (1996), 139-166. Zbl 0840.11044, MR 1370199
Reference: [4] KUČERA R.: Circular units and class groups of abehan fields.In: Comptes Rendus de la conference internationale Maroc-Quebec (Mai 2003) "Theorie des nombres et applications'', 2004, pp. 130-143. MR 2183100
Reference: [5] SINNOTT W.: On the Stickelberger ideal and the circular units of a cyclotomic field.Ann. of Math. (2) 108 (1978), 107-134. Zbl 0395.12014, MR 0485778
Reference: [6] SINNOTT W.: On the Stickelberger ideal and the circular units of an abelian field.Invent. Math. 62 (1980), 181-234. Zbl 0465.12001, MR 0595586
Reference: [7] WASHINGTON L. C.: Introduction to Cyclotomic Fields.(2nd ed.) Grad. Texts in Math. 83, Springer, New York, NY, 1997. Zbl 0966.11047, MR 1421575
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