Geodesic
Strictly sharp irreducible characters of symmetric and alternating groups
Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 381-400 Cet article a éte moissonné depuis la source Math-Net.Ru

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A complex character $\chi$ of a finite group $G$ is called strictly sharp if $|G|=\prod_{l\in L}(n-l)$, where $n=\chi(1)$ is the degree of the character and $L=\{\chi(g)\mid g\in G,\ g\ne1\}$. In this paper all irreducible strictly sharp characters of the symmetric and alternating groups are found. In particular, it is proved that the symmetric groups $S_n$, $n\geslant7$, and the alternating groups $A_n$, $n\geslant9$, have exactly one irreducible strictly sharp character. 
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     author = {I. Yu. Maslyakov},
     title = {Strictly sharp irreducible characters of symmetric and alternating groups},
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     url = {http://geodesic.mathdoc.fr/item/SM_1994_79_2_a8/}
}
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I. Yu. Maslyakov. Strictly sharp irreducible characters of symmetric and alternating groups. Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 381-400. http://geodesic.mathdoc.fr/item/SM_1994_79_2_a8/

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