Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields
書誌事項
- 公開日
- 2018-06
- 資源種別
- journal article
- 権利情報
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- https://www.elsevier.com/tdm/userlicense/1.0/
- http://www.elsevier.com/open-access/userlicense/1.0/
- DOI
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- 10.1016/j.jnt.2017.11.003
- 公開者
- Elsevier BV
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説明
Abstract In this paper, we prove the integrality of Stickelberger elements attached to finite (not necessarily abelian) unramified extensions of imaginary quadratic fields. As an application of this result, we describe the relation between non-commutative Fitting invariants of some arithmetic modules and Stickelberger elements. Consequently, we prove two types of annihilation results for ray class groups.
収録刊行物
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- Journal of Number Theory
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Journal of Number Theory 187 332-343, 2018-06
Elsevier BV
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詳細情報 詳細情報について
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- CRID
- 1360004232301639552
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- ISSN
- 0022314X
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE