### Abstract

This paper precisely classifies all simple groups with subgroups of index n and all primitive permutation groups of degree n, where n = 2.3(r), 5.3(r) or 10.3(r) for r greater than or equal to 1. As an application, it proves positively Gardiner and Praeger's conjecture in [6] regarding transitive groups with bounded movement.

Original language | English |
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Pages (from-to) | 275-287 |

Journal | Journal of Pure and Applied Algebra |

Volume | 115 |

Publication status | Published - 1997 |

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## Cite this

Li, C-H. (1997). The primitive permutation groups of certain degrees.

*Journal of Pure and Applied Algebra*,*115*, 275-287.