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MR783703 (86k:11051) 11N37 (20C30)
Vershik, A. M.; Kerov, S. V. Asymptotic behavior of the maximum and generic dimensions of irreducible representations of the symmetric group. (Russian) Funktsional. Anal. i Prilozhen. 19 (1985), no. 1, 25–36, 96.
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