Finite groups with exactly two class lengths of elements of prime power order
type: Item
instance of: scholarly article
title: Finite groups with exactly two class lengths of elements of prime power order
zbMATH Open document ID: 0854.20034
DOI: 10.1007/BF01268923
author: Shirong Li
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: The following theorem is proved: If the finite group \(G\) has exactly two class-lengths of elements of prime power order, then \(G\) is solvable.
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 938580
zbMATH Keywords: finite groups
zbMATH Keywords: class-lengths
zbMATH Keywords: elements of prime power order
zbMATH Keywords: solvable groups
MaRDI profile type: Publication
cites work: Group Elements of Prime Power Index
cites work: On groups with abelian Sylow 2-subgroups
cites work: On the length of the conjugacy classes of finite groups
cites work: Q3905382
cites work: Q3941595
cites work: Finite groups with small character degrees and large prime divisors
cites work: On the Degrees of Irreducible Representations of a Finite Group
full work available at URL: https://doi.org/10.1007/bf01268923
OpenAlex ID: W157424476
description: scientific article; zbMATH DE number 938580