Induced characters which are multiples of irreducibles
type: Item
instance of: scholarly article
title: Induced characters which are multiples of irreducibles
zbMATH Open document ID: 0679.20009
DOI: 10.1016/0021-8693(89)90156-7
author: I. M. Isaacs
author: Pamela A. Ferguson
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: An irreducible character of a finite group G is called primitive if it is not induced from any character of a proper subgroup. The authors show that also a multiple of a primitive irreducible character \(\chi\) cannot be induced from a proper subgroup, if G is p-solvable for each prime p dividing \(\chi\) (1). Moreover they give conditions that characters of G are induced from generalized characters of proper subgroups.
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 4112855
zbMATH Keywords: induced characters
zbMATH Keywords: primitive irreducible character
zbMATH Keywords: p-solvable
zbMATH Keywords: generalized characters
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90156-7
OpenAlex ID: W2058518279
cites work: Tensor induction of generalized characters and permutation characters
cites work: On groups of central type
cites work: Characters of Solvable and Symplectic Groups
cites work: Q4103728
cites work: Primitive characters, normal subgroups, and M-groups
description: scientific article; zbMATH DE number 4112855