On products of characters in 𝐴_{𝑛}

Zisser, Ilan

doi:10.1090/S0002-9939-1991-1043422-5

On products of characters in $A_ n$
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Proc. Amer. Math. Soc. 111 (1991), 633-641 Request permission

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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