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The Largest Degrees of Irreducible Characters of the Symmetric Group

John McKay
Mathematics of Computation
Vol. 30, No. 135 (Jul., 1976), pp. 624-631
DOI: 10.2307/2005331
Stable URL: http://www.jstor.org/stable/2005331
Page Count: 8
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The Largest Degrees of Irreducible Characters of the Symmetric Group
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Abstract

The largest irreducible degrees and the partitions associated with them are tabulated for the symmetric group $\Sigma_n$ for $n$ up to 75. Analytic upper and lower bounds are derived for the largest degree.

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