### Abstract

Original language | English |
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Pages (from-to) | 115-124 |

Number of pages | 10 |

Journal | Journal of Combinatorial Theory, Series A |

Volume | 28 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1980 |

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*Journal of Combinatorial Theory, Series A*,

*28*(2), 115-124. https://doi.org/10.1016/0097-3165(80)90077-1

**A bijection of the set of 3-regular partitions.** / Mullineux, Glen.

Research output: Contribution to journal › Article

*Journal of Combinatorial Theory, Series A*, vol. 28, no. 2, pp. 115-124. https://doi.org/10.1016/0097-3165(80)90077-1

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TY - JOUR

T1 - A bijection of the set of 3-regular partitions

AU - Mullineux, Glen

PY - 1980

Y1 - 1980

N2 - A bijection of the set of 3-regular partitions of an integer n is constructed. It is shown that this map has order 2 and that the 3-cores of a partition and its image have diagrams which are mutual transposes. It is conjectured that this is the same bijection as the one induced, using the labeling of Farahat, Müller, and Peel, from the action of the alternating character upon the 3-modular irreducible representations of the symmetric group of degree n.

AB - A bijection of the set of 3-regular partitions of an integer n is constructed. It is shown that this map has order 2 and that the 3-cores of a partition and its image have diagrams which are mutual transposes. It is conjectured that this is the same bijection as the one induced, using the labeling of Farahat, Müller, and Peel, from the action of the alternating character upon the 3-modular irreducible representations of the symmetric group of degree n.

UR - http://dx.doi.org/10.1016/0097-3165(80)90077-1

U2 - 10.1016/0097-3165(80)90077-1

DO - 10.1016/0097-3165(80)90077-1

M3 - Article

VL - 28

SP - 115

EP - 124

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

SN - 0097-3165

IS - 2

ER -