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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On products of characters in $ A\sb n$


Author: Ilan Zisser
Journal: Proc. Amer. Math. Soc. 111 (1991), 633-641
MSC: Primary 20C30; Secondary 20C15
MathSciNet review: 1043422
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Abstract: It is shown that every power with exponent greater than 1 of a nonprincipal irreducible character of $ {A_n}$ has at least 3 irreducible constituents. It is shown that, if the exponent is greater than 3, then the number of irreducible constituents is at least 4.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1043422-5
PII: S 0002-9939(1991)1043422-5
Article copyright: © Copyright 1991 American Mathematical Society