Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 54, No. 4, pp. 441-447 (1997)

Previous Article

Next Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home

 

Non Vanishing Conjugacy Classes for an Irreducible Character of $S_{n}$

M. Purificaç\ ao Coelho and M. Antónia Duffner

Universidade 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 $(m,m-1,...,2,1)$. 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
© 1997–2007 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition