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Let S λ be a Specht module for the symmetric group Σ n , defined over a field of characteristic different from 2, and let L n−1 be the sum of all transpositions in Σ n−1 that do not fix n − 1. It is shown that the minimal polynomial of L n−1 acting on S λ has maximum possible degree. As a consequence, the indecomposable components of the restriction of S λ to Σ n−1 coincide with the block components. Analogous results are proved for L n+1 and the Σ n+1 -module that is induced from S λ .

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