Abstract
Every group has two natural representations on itself, the regular representation and the conjugacy representation. We know everything about the construction of the regular representation, but we know very little about the conjugacy representation (for uncommutative groups). In this paper we will see that every irreducible complex character ofS n (n>2) is a constituent of conjugacy character ofS n .
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References
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Frumkin, A. Theorem about the conjugacy representation ofS n . Israel J. Math. 55, 121–128 (1986). https://doi.org/10.1007/BF02772700
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DOI: https://doi.org/10.1007/BF02772700