On conjugacy classes of S n containing all irreducibles
It is shown that for the conjugation action of the symmetric group Sn, when n = 6 or n ≥ 8, all S n -irreducibles appear as constituents of a single conjugacy class, namely, one indexed by a partition λ of n with at least two parts, whose parts are all distinct and taken from the set of odd primes and 1. A simple characterisation of conjugacy classes containing all irreducibles is proved.
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