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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