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A bijection of the set of 3-regular partitions


Reference:

Mullineux, G., 1980. A bijection of the set of 3-regular partitions. Journal of Combinatorial Theory, Series A, 28 (2), pp. 115-124.

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Official URL:

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

Abstract

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.

Details

Item Type Articles
CreatorsMullineux, G.
DOI10.1016/0097-3165(80)90077-1
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
RefereedYes
StatusPublished
ID Code13300

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