On a conjecture of Alvis

Date
2005-12
Author
Barry, Michael J. J.
Ward, Michael B.
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URI
http://hdl.handle.net/10456/45800
Subject
symmetric group representations
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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Department
Mathematics
Rights
This article was selected and published in the Journal of Algebra ©2005 Barry and Ward. All rights reserved.
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
Version
Published article
Published As
https://doi.org/10.1016/j.jalgebra.2005.04.028
Journal
Journal of Algebra
Publisher
Elsevier