{"created":"2023-06-19T07:38:39.112246+00:00","id":74,"links":{},"metadata":{"_buckets":{"deposit":"281d3b86-2dd3-40d6-b760-0b3949097b17"},"_deposit":{"created_by":2,"id":"74","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"74"},"status":"published"},"_oai":{"id":"oai:tsuru.repo.nii.ac.jp:00000074","sets":["17:20"]},"author_link":["8720","8721"],"item_10002_alternative_title_1":{"attribute_name":"別タイトル","attribute_value_mlt":[{"subitem_alternative_title":"Formula of the Number of Subgroups of a Finite Abelian Group"}]},"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1999-10-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"51","bibliographicPageEnd":"90","bibliographicPageStart":"83","bibliographic_titles":[{"bibliographic_title":"都留文科大学研究紀要"},{"bibliographic_title":"都留文科大学研究紀要","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"A finite Abelian group is decomposed into a direct product of subgroups of prime-power orders.These subgroups are commutative p-groups,known p-Sylow groups.Every commutative p-group S is decomposed into a direct product of cyclic subgroups C（pk1）×C（pk2）×…C（pkt）, by an abbreviated notation（k1, k2, …,kt）. Let H be a type（h1, h2, …, hs）subgroup of S . First, we make bases（a1, a2, …,as）such that a'i s（i= 1 … s）are elements of S of order phi. Then we prove that there are （pf（h1）－pf（h1－1））（pf（h2）－pf（h2－1）＋1）…（pf（hs）－pf（hs－1）＋s－1） basis. Similarly, there are （pg（h1）－pg（h1－1））（pg（h2）－pg（h2－1）＋1）…（pg（hs）－pg（hs－1）＋s－1） basis of H. We prove that the number of type（h1, h2, …, hs）subgroups of S is Πsi＝1（pf（hi）－pf（hi－1）＋i－1） ───────────── . Πsi＝1（pg（hi）－pg（hi－1）＋i－1） Then we have a theorem to compute those of a finite Abelian group.","subitem_description_type":"Abstract"}]},"item_10002_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"8721","nameIdentifierScheme":"WEKO"}],"names":[{"name":"KIYOTA, Hidenori"}]}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.34356/00000068","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"都留文科大学"}]},"item_10002_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AN00149431","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0286-3774","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"清田, 秀憲"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-03-01"}],"displaytype":"detail","filename":"051083.PDF","filesize":[{"value":"58.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"有限可換群の、部分群の個数を求める計算法","url":"https://tsuru.repo.nii.ac.jp/record/74/files/051083.PDF"},"version_id":"fbbde8e0-ede1-426a-a3cf-671efa4549cc"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"有限可換群の、部分群の個数を求める計算法","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"有限可換群の、部分群の個数を求める計算法"}]},"item_type_id":"10002","owner":"2","path":["20"],"pubdate":{"attribute_name":"公開日","attribute_value":"2010-12-07"},"publish_date":"2010-12-07","publish_status":"0","recid":"74","relation_version_is_last":true,"title":["有限可換群の、部分群の個数を求める計算法"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2023-06-19T08:07:42.135837+00:00"}