A Hall-Higman type theorem for cyclic groups
type: Item
instance of: scholarly article
title: A Hall-Higman type theorem for cyclic groups
zbMATH Open document ID: 0782.20004
DOI: 10.1007/BF01198803
author: Walter Carlip
published in: Archiv der Mathematik
publication date: 1993-11-17T00:00:00Z
review text: This result is in the spirit of P. Hall and G. Higman's celebrated ``Theorem B'' and extends a result of T. R. Berger. It gives an explicit description of the restriction to \(A\) of a faithful, irreducible representation of a semidirect product of a cyclic group \(A\) with an extraspecial group \(R\).
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 446317
zbMATH Keywords: restriction
zbMATH Keywords: faithful, irreducible representation
zbMATH Keywords: semidirect product
zbMATH Keywords: cyclic group
zbMATH Keywords: extraspecial group
MaRDI profile type: Publication
cites work: Hall-Higman Type Theorems. IV
cites work: Hall Higman Type Theorems, I
cites work: Hall-Higman Type Theorems, VII
cites work: Hall-Higman Type Theorems. III
cites work: Hall-Higman type theorems. V
cites work: Hall-Higman type theorems. VI
cites work: Correspondences of Characters for Relatively Prime Operator Groups
cites work: Q3913574
cites work: On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
cites work: Q3934684
cites work: On groups admitting fixed point free abelian operator groups
full work available at URL: https://doi.org/10.1007/bf01198803
OpenAlex ID: W2010183863
description: scientific article; zbMATH DE number 446317