On a conjecture of Alvis

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2005-12
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Barry, Michael J. J.
Ward, Michael B.
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Barry and Ward_2005_JOA.pdf (143.22 KB)
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http://hdl.handle.net/10456/45800
Keywords
symmetric group representations
item.page.distribution
Abstract
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.
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Mathematics
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This article was selected and published in the Journal of Algebra ©2005 Barry and Ward. All rights reserved.
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Barry, M.J.J. and Ward, M. B. (2005). On a conjecture of Alvis. Journal of Algebra, 294: 136-155. doi: 10.1016/j.jalgebra.2005.04.028
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Elsevier
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