On the Modular Representations of the Symmetric Group (III)
Copyright policy ) G. de B. Robinson;
On the Modular Representations of the Symmetric Group (III)
1. Introduction. It has been observed (2) that the number of p-regular classes of Sn, i.e. the number of classes of order prime to p, is equal to the number of partitions (λ) of n in which no summand is repeated p or more times. For this relation to hold it is essential that p be prime. It seems natural to call the Young diagram [λ] associated with (λ) p-regular if no p of its rows are of equal length, otherwise p-singular.
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group theory, Group theory
group theory, Group theory
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