Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T03:57:14.763Z Has data issue: false hasContentIssue false
  • English
  • Français

The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup

Published online by Cambridge University Press:  23 October 2003

Cai Heng Li
Cai Heng Li
Affiliation:
School of Mathematics and Statistics, The University of Western Australia, Crawley 6009 WA, Australia. E-mail: li@maths.uwa.edu.au
Get access

Abstract

A complete classification is given of finite primitive permutation groups which contain an abelian regular subgroup. This solves a long-standing open problem in permutation group theory initiated by W. Burnside in 1900.

Keywords

primitive permutation groupabelian regular subgroup20B1520B30
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 87 , Issue 3 , November 2003 , pp. 725 - 747
Copyright
2003 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This work forms a part of an ARC project and is supported by an ARC Fellowship.