The Primitive Permutation Groups of Squarefree Degree

Cai-Heng Li; Akos Seress

doi:10.1112/S0024609303002145

The Primitive Permutation Groups of Squarefree Degree

Cai-Heng Li, Akos Seress

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	635-644
Journal	Bulletin of the London Mathematical Society
Volume	35
Issue number	5
DOIs	https://doi.org/10.1112/S0024609303002145
Publication status	Published - 2003

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title = "The Primitive Permutation Groups of Squarefree Degree",

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.",

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AB - 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.

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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The Primitive Permutation Groups of Squarefree Degree

Abstract

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