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THE PRIMITIVE PERMUTATION GROUPS OF SQUAREFREE DEGREE

Published online by Cambridge University Press:  13 August 2003

CAI HENG LI  and
ÁKOS SERESS
CAI HENG LI
Affiliation:
University of Western Australia, Crawley, WA 6009, Australiali@maths.uwa.edu.au
ÁKOS SERESS
Affiliation:
The Ohio State University, Columbus, OH 43210, USAakos@math.ohio-state.edu
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Abstract

The paper gives lists of all the primitive permutation groups of squarefree degree. All such groups are either solvable and act on a prime number of points, or are almost simple. Among the almost simple examples, the groups of Lie type have rank at most $2$, or the point stabilizer is a parabolic subgroup.

Keywords

20B15
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 635 - 644
Copyright
© The London Mathematical Society 2003

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