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An Analogue of Nakayama’s Conjecture for Johnson Schemes

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Abstract.

Nakayama’s Conjecture is one of the most famous theorems for representation theory of symmetric groups. Two general irreducible characters of a symmetric group belong to the same p-block if and only if the p-cores of the young diagrams corresponding to them are the same. The conjecture was first proven in 1947 by Brauer and Robinson. We consider an analogue of Nakayama’s Conjecture for Johnson schemes.

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  1. Graduate School of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan

    Osamu Shimabukuro

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  1. Osamu Shimabukuro
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Correspondence to Osamu Shimabukuro.

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Received January 28, 2004

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Shimabukuro, O. An Analogue of Nakayama’s Conjecture for Johnson Schemes. Ann. Comb. 9, 101–115 (2005). https://doi.org/10.1007/s00026-005-0243-1

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  • DOI: https://doi.org/10.1007/s00026-005-0243-1

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