Factorizations of large cycles in the symmetric group (Q1613557)
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scientific article; zbMATH DE number 1792473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorizations of large cycles in the symmetric group |
scientific article; zbMATH DE number 1792473 |
Statements
Factorizations of large cycles in the symmetric group (English)
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29 August 2002
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Let \(C^{(n)}_{\alpha_1,\dots,\alpha_m}\) denote the number of factorizations of an \(n\)-cycle into \(m\) permutations of \(S_n\) of types \(\alpha_1,\dots,\alpha_m\). Although this number can be computed using the character table of \(S_n\), but the authors find a new formula to calculate this number.
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symmetric groups
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conjugacy classes
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connection coefficients
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numbers of factorizations
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0.9084987
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0.9083735
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0.90331334
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0.89965874
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0.89761996
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0.8944427
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0.89369893
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0.8894437
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