An algebraically derived q-analogue of a character sum associated with a class of semiregular permutations (Q810510)
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scientific article; zbMATH DE number 4213992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraically derived q-analogue of a character sum associated with a class of semiregular permutations |
scientific article; zbMATH DE number 4213992 |
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An algebraically derived q-analogue of a character sum associated with a class of semiregular permutations (English)
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1990
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A permutation in which all the cycles have the same length p is called p- semiregular permutation. In this paper the authors derive q-analogues for the number e(k,p) of p-semiregular permutations with k cycles, which are the product of a specified full-cycle and a fixed point free involution by using basic results from hypergeometric series. Such permutations arise in numerous areas of combinatorics.
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permutation
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