ON THE SOLVABILITY OF GROUPS WITH FOUR CLASS SIZES-Reference-Cited by-同舟云学术

ON THE SOLVABILITY OF GROUPS WITH FOUR CLASS SIZES

Published:2012-04 Issue:02 Volume:11 Page:1250036
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BELTRÁN ANTONIO¹,FELIPE MARÍA JOSÉ²

Affiliation:

1. Departamento de Matemáticas, Universidad Jaume I, 12071 Castellón, Spain

2. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain

Abstract

It is shown that if the set of conjugacy class sizes of a finite group G is {1, m, n, mn}, where m, n are positive integers which do not divide each other, then G is up to central factors a {p, q}-group. In particular, G is solvable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498811005609

Reference10 articles.

1. FINITE GROUPS WITH TWO p-REGULAR CONJUGACY CLASS LENGTHS II

2. Variations on a theorem by Alan Camina on conjugacy class sizes

3. Finite Groups with Four Conjugacy Class Sizes

4. COPRIME CONJUGACY CLASS SIZES

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Structure of finite groups with four conjugacy class sizes of certain elements;Communications in Algebra;2017-08-21

2. A note on the solvability of finite groups with four particular conjugacy class sizes;Monatshefte für Mathematik;2014-12-30

3. A note on conjugacy class sizes and solvability of finite groups;Monatshefte für Mathematik;2014-05-04

4. CORRIGENDUM: "ON THE SOLVABILITY OF GROUPS WITH FOUR CLASS SIZES";Journal of Algebra and Its Applications;2012-11-14