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

Inventiones mathematicae (1980/81)

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

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top## How to cite

topSinnott, 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

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

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