{"_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"}, "item_5_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "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^\u003c-1\u003e(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^\u003c-1\u003e(G,U^(r+s)_k)\u2192H^\u003c-1\u003e(G,U^(s)_k) is trivial for s \u2265 1, where r denotes the last ramification number, This result describes a basic situation for vanishing of H^\u003c-1\u003e(G,U^(s)_k). Using this result for a Galois tower K\u2283L\u2283k 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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u65b0\u6f5f\u5927\u5b66"}]}, "item_5_select_19": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_5_source_id_11": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Takeuchi, Teruo"}], "nameIdentifiers": [{"nameIdentifier": "7408", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-07-29"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "5_0015.pdf", "filesize": [{"value": "2.8 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 2800000.0, "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "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": ["453/454", "176/488/489"], "permalink_uri": "http://hdl.handle.net/10191/5666", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-04-08"}, "publish_date": "2008-04-08", "publish_status": "0", "recid": "2182", "relation": {}, "relation_version_is_last": true, "title": ["Scholz admissible moduli of finite Galois extensions of algebraic number fields"], "weko_shared_id": null}