Abstract
Let (F, R, k) be a p-modular system, and let denote the centralizer of the symmetric group S ℓ in the group algebra RS n , where ℓ ≤n. We show that the decomposition map of can be determined from that of the degenerate affine Hecke algebra of rank n − ℓ. We use this to determine the blocks of for ℓ =n − 2, n − 3. For each p-core κ, there is an n 0 such that if n > n 0 and E n is a block idempotent of RS n with core κ, then E n E n−ℓ is zero or a block idempotent of , for each block idempotent E n−ℓ of RS n−ℓ.
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