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On the Irreducible Representationsof the Symmetric Group
Published online by Cambridge University Press: 20 November 2018
Extract
Let T be a Young diagram of n nodes:
(1)
ai being the length of its ith row. With respect to a prime p, we denote by T0 the p-core of T. If T0 consists of m nodes, then
(2) m=n-lp,
where l is the number of successive p-hooks [3] removable from T to yield its p-core T0. We have stated in [4] the following theorem :
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- Copyright © Canadian Mathematical Society 1952