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A partial order on the symmetric groups defined by 3-cycles
http://hdl.handle.net/20.500.12000/16107
http://hdl.handle.net/20.500.12000/16107032ef35d-c301-48cf-b89c-036bbeddf5a6
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||
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公開日 | 2010-03-04 | |||||||||
タイトル | ||||||||||
タイトル | A partial order on the symmetric groups defined by 3-cycles | |||||||||
言語 | en | |||||||||
作成者 |
Maeda, Takashi
× Maeda, Takashi
× 前田, 高士
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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 | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | We define a partial order on the symmetric group S_n of degree n by x ≥ y iff y = a_1 ··· a_kx with i(y) = i(x) + 2k where a_1, ··· , a_k are 3-cycles of increasing or decreasing consecutive three letters and i(*) is the number of inversions of the element * of S_n, on the analogy of the weak Bruhat order. Whether an even permutation is comparable to the identity or not in this ordering is considered. It is shown that all of the even permutations of degree n which map 1 to n or n - 1 are comparable to the identity. | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 紀要論文 | |||||||||
出版者 | ||||||||||
言語 | en | |||||||||
出版者 | Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
資源タイプ | ||||||||||
資源タイプ | departmental bulletin paper | |||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
識別子 | ||||||||||
識別子 | http://hdl.handle.net/20.500.12000/16107 | |||||||||
識別子タイプ | HDL | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1344-008X | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA10779580 | |||||||||
収録物名 | ||||||||||
言語 | en | |||||||||
収録物名 | Ryukyu mathematical journal | |||||||||
書誌情報 |
巻 15, p. 19-42, 発行日 2002-12-30 |