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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
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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

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Footnotes

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