PORTUGALIAE MATHEMATICA Vol. 54, No. 4, pp. 441447 (1997) 

Non Vanishing Conjugacy Classes for an Irreducible Character of $S_{n}$M. Purificaç\ ao Coelho and M. Antónia DuffnerUniversidade de Lisboa, C.A.U.L.,Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex  PORTUGAL Abstract: An irreducible character of the symmetric group $S_{n}$ is a triangular character if it is associated to a partition of the form $(m,m1,...,2,1)$. We prove that an irreducible character $\chi$ is triangular if and only if it vanishes on all conjugacy classes whose cycle decomposition contains at least one transposition.\Prgrf Furthermore if the character $\chi$ is not triangular and $\chi\ne[2,2]$, there is a class where a transposition and a cycle of length one occur, for which $\chi$ does not vanish. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1997 Sociedade Portuguesa de Matemática
