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Multiplicative induction and units for the ring of monomial representations
http://hdl.handle.net/10258/00010040
http://hdl.handle.net/10258/0001004086545fd7-5d27-4010-aac3-0fce1bee9d3d
名前 / ファイル | ライセンス | アクション |
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AM_355_106768 (285.0 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2019-11-12 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Multiplicative induction and units for the ring of monomial representations | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Burnside ring | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Cocycle | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Idempotent | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Monomial Burnside ring | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Tensor induction | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Unit | |||||||||||
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 G be a finite group, and let A be a finite abelian G-group. For each subgroup H of G, Ω(H;A) denotes the ring of monomial representations of H with coefficients in A, which is a generalization of the Burnside ring Ω(H) of H. We research the multiplicative induction map Ω(H;A) → Ω(G;A) derived from the tensor induction map Ω(H) → Ω(G), and also research the unit group of Ω(G;A). The results are explained in terms of the first cohomology groups H1(K;A) for K ≤ G. We see that tensor induction for 1-cocycles plays a crucial role in a description of multiplicative induction. The unit group of Ω(G;A) is identified as a finitely generated abelian group. We especially study the group of torsion units of Ω(G;A), and study the unit group of Ω(G) as well. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Advances in Mathematics 巻 355, 発行日 2019-10-15 |
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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.2019.106768 | ||||||||||||
https://doi.org/10.1016/j.aim.2019.106768 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1016/j.aim.2019.106768 | |||||||||||
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 | 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 |