### Abstract

We derive a q-analogue of the classical formula for the number of derangements of an n element set. Our derivation is entirely analogous to the classical derivation, but relies on a descent set preserving bijection between the set of permutations with a given derangement part and the set of shuffles of two permutations.

Original language | English (US) |
---|---|

Pages (from-to) | 273-278 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 106 |

Issue number | 1 |

DOIs | |

State | Published - 1989 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**On q-derangement numbers.** / Galloway, Michelle L.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 106, no. 1, pp. 273-278. https://doi.org/10.1090/S0002-9939-1989-0937015-6

}

TY - JOUR

T1 - On q-derangement numbers

AU - Galloway, Michelle L

PY - 1989

Y1 - 1989

N2 - We derive a q-analogue of the classical formula for the number of derangements of an n element set. Our derivation is entirely analogous to the classical derivation, but relies on a descent set preserving bijection between the set of permutations with a given derangement part and the set of shuffles of two permutations.

AB - We derive a q-analogue of the classical formula for the number of derangements of an n element set. Our derivation is entirely analogous to the classical derivation, but relies on a descent set preserving bijection between the set of permutations with a given derangement part and the set of shuffles of two permutations.

UR - http://www.scopus.com/inward/record.url?scp=0037609091&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037609091&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1989-0937015-6

DO - 10.1090/S0002-9939-1989-0937015-6

M3 - Article

VL - 106

SP - 273

EP - 278

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -