{"created":"2021-03-01T06:05:52.722276+00:00","id":2182,"links":{},"metadata":{"_buckets":{"deposit":"ed341e3a-2e7b-4967-993b-bd2f9746ae81"},"_deposit":{"id":"2182","owners":[],"pid":{"revision_id":0,"type":"depid","value":"2182"},"status":"published"},"_oai":{"id":"oai:niigata-u.repo.nii.ac.jp:00002182","sets":["176:488:489","453:454"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"195","bibliographicPageStart":"179","bibliographicVolumeNumber":"14","bibliographic_titles":[{"bibliographic_title":"Nihonkai Mathematical Journal"},{"bibliographic_title":"Nihonkai Mathematical Journal","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let K be a finite Galois extension over an algebraic number field k with Galois group G. We call a modulus m of K Scholz admissible when the Schur multiplier of G is isomorphic to the number knot of K/k modulo m. This paper develops a systematic treatment for Scholz admissibility. We first reduce the problem to the local case, in particular, to the strongly rami-fied case, and study this case in detail. A main object of local Scholz admissi-bility is H^<-1>(G,U^(s)_k) in the strongly ramified case. In the case where K/k is totally strongly ramified of prime power degree p^n, we prove that the natural homomorphism: H^<-1>(G,U^(r+s)_k)→H^<-1>(G,U^(s)_k) is trivial for s ≥ 1, where r denotes the last ramification number, This result describes a basic situation for vanishing of H^<-1>(G,U^(s)_k). Using this result for a Galois tower K⊃L⊃k with a totally strongly ramified cyclic extension L/k we prove a relationship between Scholz admissible moduli of K/L and K/k. This gives a way to estimate for Scholz conductor of K/k from the ramification in K/k. As an application of this result we give an alternative proof of a result of Frohlich.","subitem_description_type":"Abstract"}]},"item_5_publisher_7":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"新潟大学"}]},"item_5_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_5_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10800960","subitem_source_identifier_type":"NCID"}]},"item_5_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13419951","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Takeuchi, Teruo"}],"nameIdentifiers":[{"nameIdentifier":"7408","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-07-29"}],"displaytype":"detail","filename":"5_0015.pdf","filesize":[{"value":"2.8 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"5_0015.pdf","url":"https://niigata-u.repo.nii.ac.jp/record/2182/files/5_0015.pdf"},"version_id":"7458a23c-9e77-4f8b-8036-e8db3c3bdfb6"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Scholz admissible moduli of finite Galois extensions of algebraic number fields","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Scholz admissible moduli of finite Galois extensions of algebraic number fields"},{"subitem_title":"Scholz admissible moduli of finite Galois extensions of algebraic number fields","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["454","489"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-04-08"},"publish_date":"2008-04-08","publish_status":"0","recid":"2182","relation_version_is_last":true,"title":["Scholz admissible moduli of finite Galois extensions of algebraic number fields"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-15T03:34:59.969496+00:00"}