{"created":"2023-06-19T09:16:44.472484+00:00","id":29305,"links":{},"metadata":{"_buckets":{"deposit":"9dddacd4-e180-4799-889c-1152a54b00ec"},"_deposit":{"created_by":1,"id":"29305","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"29305"},"status":"published"},"_oai":{"id":"oai:kumadai.repo.nii.ac.jp:00029305","sets":["399:444"]},"author_link":["134712","128386"],"item_16_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-04-28","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageEnd":"2152","bibliographicPageStart":"2148","bibliographicVolumeNumber":"309","bibliographic_titles":[{"bibliographic_title":"Discrete Mathematics"}]}]},"item_16_creator_3":{"attribute_name":"別言語の著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"平峰, 豊"}],"nameIdentifiers":[{"nameIdentifier":"134712","nameIdentifierScheme":"WEKO"}]}]},"item_16_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_16_description_46":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_16_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Let D be an affine difference set of order n in an abelian group G  relative to a subgroup N. We denote by π(s) the set of primes dividing an integer s(>0) and set H* = H∖{ω}, where H = G/N and ω=∏_<σ∈H>σ. In this article, using D we define a map g from H to N satisfying for τ, ρ∈H*, g(τ)=g(ρ) iff {τ,τ^<−1>}={ρ,ρ^<−1>} and show that  ord_<o(σ)>(m)/ord_<o(g(σ))>(m)∈{1,2} for any σ∈H* and any integer m>0 with π(m)⊂π(n). This result is a generalization of J.C. Galati's theorem on even order n([3]) and gives a new proof of a result of Arasu–Pott on the order of a multiplier modulo exp(H) ([1]Section 5).","subitem_description_type":"Other"}]},"item_16_description_77":{"attribute_name":"URL","attribute_value_mlt":[{"subitem_description":"http://www.sciencedirect.com/science/article/pii/S0012365X08002689","subitem_description_type":"Other"}]},"item_16_publisher_36":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier B.V."}]},"item_16_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.disc.2008.04.040","subitem_relation_type_select":"DOI"}}]},"item_16_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0012365X","subitem_source_identifier_type":"ISSN"}]},"item_16_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00629060","subitem_source_identifier_type":"NCID"}]},"item_16_subject_20":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_16_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"113517 bytes"}]},"item_16_text_47":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"雑誌掲載論文"}]},"item_16_text_48":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Journal Article"}]},"item_16_text_49":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_16_text_50":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"01"}]},"item_16_text_78":{"attribute_name":"コメント","attribute_value_mlt":[{"subitem_text_value":"【著者所属】熊本大学教育学部 数学教育"}]},"item_16_version_type_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"平峰, 豊","creatorNameLang":"ja"},{"creatorName":"ヒラミネ, ユタカ","creatorNameLang":"ja-Kana"},{"creatorName":"Hiramine, Yutaka","creatorNameLang":"en"}],"familyNames":[{"familyName":"平峰","familyNameLang":"ja"},{"familyName":"ヒラミネ","familyNameLang":"ja-Kana"},{"familyName":"Hiramine","familyNameLang":"en"}],"givenNames":[{"givenName":"豊","givenNameLang":"ja"},{"givenName":"ユタカ","givenNameLang":"ja-Kana"},{"givenName":"Yutaka","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"128386","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":"2020-03-03"}],"displaytype":"detail","filename":"DiscreteMath_309_8_2148-2152.pdf","filesize":[{"value":"113.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"DiscreteMath_309_8_2148-2152.pdf","url":"https://kumadai.repo.nii.ac.jp/record/29305/files/DiscreteMath_309_8_2148-2152.pdf"},"version_id":"eae5648e-7c3c-4f06-803e-2c33fc3f968a"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Relative difference set","subitem_subject_scheme":"Other"},{"subitem_subject":"Affine difference set","subitem_subject_scheme":"Other"},{"subitem_subject":"Multiplier","subitem_subject_scheme":"Other"}]},"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":"On affine difference sets and their multipliers","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On affine difference sets and their multipliers"}]},"item_type_id":"16","owner":"1","path":["444"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-11-19"},"publish_date":"2015-11-19","publish_status":"0","recid":"29305","relation_version_is_last":true,"title":["On affine difference sets and their multipliers"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-09-26T01:23:50.732653+00:00"}