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p-adic Estimates of the Number of Permutation Representations
http://hdl.handle.net/10258/00009976
http://hdl.handle.net/10258/0000997616e01722-1333-4cd9-9973-a2c2c7162995
名前 / ファイル | ライセンス | アクション |
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AM_349_367_425 (301.6 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2019-08-06 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | p-adic Estimates of the Number of Permutation Representations | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | finite abelian p-group | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | group homomorphism | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | p-adic analytic function | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | permutation representation | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | symmetric group | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | wreath product | |||||||||||
資源タイプ | ||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
資源タイプ | journal article | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
竹ケ原, 裕元
× 竹ケ原, 裕元
WEKO
18135
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室蘭工業大学研究者データベースへのリンク | ||||||||||||
竹ケ原 裕元(TAKEGAHARA Yugen) | ||||||||||||
http://rdsoran.muroran-it.ac.jp/html/100000217_ja.html | ||||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 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. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Advances in Mathematics 巻 349, p. 367-425, 発行日 2019-06-20 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Elsevier | |||||||||||
出版者版へのリンク | ||||||||||||
10.1016/j.aim.2019.04.008 | ||||||||||||
https://doi.org/10.1016/j.aim.2019.04.008 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.aim.2019.04.008 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 412 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0001-8708 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00513055 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © 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/ | |||||||||||
著者版フラグ | ||||||||||||
出版タイプ | AM | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |