Geodesic
Weights of partitions and character zeros.
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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We classify partitions which are of maximal $p$-weight for all odd primes $p$. As a consequence, we show that any non-linear irreducible character of the symmetric and alternating groups vanishes on some element of prime order.
DOI : 10.37236/1862
Classification : 20C30, 05A17, 05E10
Mots-clés : partitions of maximal weight, non-linear irreducible characters, symmetric groups, alternating groups 
@article{10_37236_1862,
     author = {Christine Bessenrodt and J{\o}rn B. Olsson},
     title = {Weights of partitions and character zeros.},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {2},
     doi = {10.37236/1862},
     zbl = {1068.20011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1862/}
}
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Christine Bessenrodt; Jørn B. Olsson. Weights of partitions and character zeros.. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1862

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