On the Stickelberger Ideal and the Circular Units of an Abelian Field.

W. Sinnott

Inventiones mathematicae (1980/81)

• Volume: 62, page 181-234
• ISSN: 0020-9910; 1432-1297/e

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Sinnott, W.. "On the Stickelberger Ideal and the Circular Units of an Abelian Field.." Inventiones mathematicae 62 (1980/81): 181-234. <http://eudml.org/doc/142770>.

@article{Sinnott1980/81,
author = {Sinnott, W.},
journal = {Inventiones mathematicae},
keywords = {Stickelberger ideal; abelian field; circular units; unit group; class number},
pages = {181-234},
title = {On the Stickelberger Ideal and the Circular Units of an Abelian Field.},
url = {http://eudml.org/doc/142770},
volume = {62},
year = {1980/81},
}

TY - JOUR
AU - Sinnott, W.
TI - On the Stickelberger Ideal and the Circular Units of an Abelian Field.
JO - Inventiones mathematicae
PY - 1980/81
VL - 62
SP - 181
EP - 234
KW - Stickelberger ideal; abelian field; circular units; unit group; class number
UR - http://eudml.org/doc/142770
ER -

Citations in EuDML Documents

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1. Robert Gold, Jaemoon Kim, Bases for cyclotomic units
2. Radan Kučera, Different groups of circular units of a compositum of real quadratic fields
3. Peter Schmid, The Stickelberger element of an imaginary quadratic field
4. Pavel Kraemer, Stickelberger ideal of a compositum of a real bicyclic field and a quadratic imaginary field
5. Radan Kučera, A note on circular units in ${\mathbb{Z}}_p$-extensions
6. Stanislav Jakubec, Congruence of Ankeny-Artin-Chowla type modulo p² for cyclic fields of prime degree l
7. Kazuhiro Dohmae, A note on Sinnott's index formula
8. Cornelius Greither, Radan Kučera, Annihilators of minus class groups of imaginary abelian fields
9. Michal Bulant, On Washington group of circular units of some composita of quadratic fields
10. Radan Kučera, A generalization of a unit index of Greither

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