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The number of subgroups of a finite group (II)
http://hdl.handle.net/10258/00009918
http://hdl.handle.net/10258/0000991861edf550-a995-48fa-9ccb-b21198091feb
名前 / ファイル | ライセンス | アクション |
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CA_47_5_1964_1972 (111.0 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2019-06-27 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | The number of subgroups of a finite group (II) | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | complement | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | finite p-group | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | homomorphism | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | semidirect product | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | subgroup | |||||||||||
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 $A$ be a finite group, and let $p$ be a prime. Suppose that $p^s$ is the highest power of $p$ dividing $|A/A'|$, where $A'$ is the commutator subgroup of $A$, and that the type $\lambda=(\lambda_1, \lambda_2,...)$ with $\lambda_1\geq\lambda_2\geq ...$ of a Sylow $p$-subgroup of $A/A'$ satisfies either $\lambda_2\leq1$ or $\lambda_2=2$ and $\lambda_3=0$. Let $m_A(d)$ denote the number of subgroups of index $d$ in $A$. If $1\leqi\leq[(s+1)/2]$ and $q$ is a positive integer such that $gcd(p,q)=1$, then $m_A(qp^{i-1})-m_A(qp^i)$ is a multiple of $p^i$ and $m_A(qp^{[(s+1)/2]})-m_A(qp^{[(s+1)/2]+1})$ is a multiple of $p^{[s/2]}$. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Communications in Algebra 巻 47, 号 5, p. 1964-1972, 発行日 2019-02-22 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Taylor & Francis | |||||||||||
出版者版へのリンク | ||||||||||||
10.1080/00927872.2018.1527918 | ||||||||||||
https://doi.org/10.1080/00927872.2018.1527918 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1080/00927872.2018.1527918 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 410 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0092-7872 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00611371 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 22/02/2019, available online: http://www.tandfonline.com/10.1080/00927872.2018.1527918 | |||||||||||
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 |