{"created":"2023-06-19T10:29:56.320287+00:00","id":10028,"links":{},"metadata":{"_buckets":{"deposit":"2202bc43-c702-4b31-b105-b6405aad9628"},"_deposit":{"created_by":18,"id":"10028","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"10028"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00010028","sets":["216:302","46"]},"author_link":["18135"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-06-20","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"425","bibliographicPageStart":"367","bibliographicVolumeNumber":"349","bibliographic_titles":[{"bibliographic_title":"Advances in Mathematics","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let p be a prime, and let G be a finite abelian p-group of type λ=(λ1,λ2,…) with λ1≥λ2≥⋯ and ∑λi=s. Set u=max⁡{λ1,[(s+1)/2]} and v=s−u. For each nonnegative integern, let hn(G) be the number of homomorphisms from G to the symmetric group Sn on n letters. Except for the case where p=2and u+δv0≤v+1, δ the Kronecker delta, or p=3 and u=v≥1, there exist p-adic analytic functions fr(X) for r=0,1,…,pu+1−1and a polynomial η(X) with integer coefficients such that for any nonnegative integer y, hpu+1y+r(G)=p{∑j=1upj−(u−v)}yfr(y)∏j=1yη(j)and ordp(hpu+1y+r(G))={∑j=1upj−(u−v)}y+ordp(fr(y)). If p=2, λ3=0, and u=v≥1 or if p=3 and u=v≥1, then hn(G) has analogous properties. Under the assumption that λ3=0, some results for the number of permutation representations of G in the wreath product of a cyclic group of order p with Sn are also presented.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1016/j.aim.2019.04.008","subitem_link_url":"https://doi.org/10.1016/j.aim.2019.04.008"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"竹ケ原 裕元（TAKEGAHARA Yugen）","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000217_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.aim.2019.04.008","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0001-8708","subitem_source_identifier_type":"PISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00513055","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"412","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"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_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKEGAHARA,  Yugen","creatorNameLang":"en"},{"creatorName":"竹ケ原, 裕元","creatorNameLang":"ja"},{"creatorName":"タケガハラ, ユウゲン","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-06-20"}],"displaytype":"detail","filename":"AM_349_367_425.pdf","filesize":[{"value":"301.6 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"AM_349_367_425","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/10028/files/AM_349_367_425.pdf"},"version_id":"0158e8a6-2bf2-4c97-82a2-ef7eab20d255"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"finite abelian p-group","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"group homomorphism","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"p-adic analytic function","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"permutation representation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"symmetric group","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"wreath product","subitem_subject_language":"en","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":"p-adic Estimates of the Number of Permutation Representations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"p-adic Estimates of the Number of Permutation Representations","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","302"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-08-06"},"publish_date":"2019-08-06","publish_status":"0","recid":"10028","relation_version_is_last":true,"title":["p-adic Estimates of the Number of Permutation Representations"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-23T08:57:40.408680+00:00"}