On a conjecture of Alvis
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Barry and Ward_2005_JOA.pdf
Barry, Michael J. J.
Ward, Michael B.
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Subjectsymmetric group representations
We exhibit for each integer n 15 an ordinary irreducible character of the symmetric group Sn, which restricts irreducibly to An, with the property that its degree is divisible by every prime less than or equal to n, thereby proving a conjecture of D.L. Alvis.