Some generalized characters
type: Item
instance of: scholarly article
title: Some generalized characters
zbMATH Open document ID: 0923.20006
author: John G. Thompson
published in: Journal of Algebra
publication date: 1996-06-09T00:00:00Z
review text: If \(G\) is a finite group and \(p\) is a prime, define \(\chi_p\colon G\to\mathbb{Z}\) by setting, for \(g\in G\), \[ \chi_p(g)=|\{h\in G\mid\text{the Sylow \(p\)-subgroups of }\langle g,h\rangle\text{ are Abelian}\}|. \] The object of this note is to prove that \(\chi_p\) is a generalized character.
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 868025
zbMATH Keywords: Sylow subgroups
zbMATH Keywords: finite groups
zbMATH Keywords: generalized characters
MaRDI profile type: Publication
full work available at URL: jabr.1996.0041
OpenAlex ID: W2020306502
DOI: 10.1006/JABR.1996.0041
description: scientific article; zbMATH DE number 868025