Theorem about the conjugacy representation of \(S_ n\)
type: Item
instance of: scholarly article
title: Theorem about the conjugacy representation of \(S_ n\)
zbMATH Open document ID: 0606.20019
DOI: 10.1007/BF02772700
author: Avital Frumkin
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author shows that the conjugating representation of the symmetric group \(S_ n\) contains each ordinary irreducible representation as an irreducible constituent or, equivalently, that the row sums of the character table of \(S_ n\) are strictly positive. There are signs of hasty preparation, various misprints left and unexplained notation.
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 3979344
zbMATH Keywords: conjugating representation
zbMATH Keywords: symmetric group
zbMATH Keywords: irreducible representation
zbMATH Keywords: irreducible constituent
zbMATH Keywords: row sums
zbMATH Keywords: character table
reviewed by: Adalbert Kerber
MaRDI profile type: Publication
cites work: Q3922829
cites work: On the conjugating representation of a finite group
cites work: On the Sum of the Elements in the Character Table of a Finite Group
full work available at URL: https://doi.org/10.1007/bf02772700
OpenAlex ID: W2046643167
description: scientific article; zbMATH DE number 3979344