Weights of partitions and character zeros.
type: Item
instance of: scholarly article
title: Weights of partitions and character zeros.
zbMATH Open document ID: 1068.20011
author: Christine Bessenrodt
author: Jørn B. Olsson
published in: The Electronic Journal of Combinatorics
publication date: 2004-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/124943
full work available at URL: v11i2r5.html
review text: Summary: 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.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 2107518
zbMATH Keywords: partitions of maximal weight
zbMATH Keywords: non-linear irreducible characters
zbMATH Keywords: symmetric groups
zbMATH Keywords: alternating groups
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2107518