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
  • https://www.elsevier.com/tdm/userlicense/1.0/
  • http://www.elsevier.com/open-access/userlicense/1.0/
DOI
  • 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.

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