ID | 65998 |
フルテキストURL | |
著者 |
Horie, Madoka
Graduate School of Science, Tohoku University
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抄録 | Let N be a positive integer. For any positive integer L ≤ N and any positive divisor r of N, we enumerate the equivalence classes of dessins d’enfants with N edges, L faces and two vertices whose representatives have automorphism groups of order r. Further, for any non-negative integer h, we enumerate the equivalence classes of dessins with N edges, h faces of degree 2 with h ≤ N, and two vertices whose representatives have automorphism group of order r. Our arguments are essentially based upon a natural one-to-one correspondence between the equivalence classes of all dessins with N edges and the equivalence classes of all pairs of permutations whose entries generate a transitive subgroup of the symmetric group of degree N.
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キーワード | dessin d’enfants
symmetric group
combinatorics
Riemann surface
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備考 | Mathematics Subject Classification. Primary 14H57; Secondary 05A15, 20B30.
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発行日 | 2024-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 66巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 1
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終了ページ | 30
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol66/iss1/1
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