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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.
収録刊行物
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- Mathematical Journal of Okayama University
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Mathematical Journal of Okayama University 66 (1), 1-30, 2024-01
Department of Mathematics, Faculty of Science, Okayama University
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詳細情報 詳細情報について
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- CRID
- 1390016958304941056
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- NII書誌ID
- AA00723502
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- ISSN
- 00301566
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB