On a conjecture of Alvis

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Author(s)
Barry, Michael J. J.
Ward, Michael B.
Date Issued
December 2005
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.
Journal
Journal of Algebra
Department
Mathematics
Citation
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
Publisher
Elsevier
Version of Article
Published article
DOI
10.1016/j.jalgebra.2005.04.028
ISSN
0021-8693
Rights
This article was selected and published in the Journal of Algebra ©2005 Barry and Ward. All rights reserved.
Subjects

symmetric group repre...

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