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立方自由次拟本原置换群
On Quasiprimitive Permutation Groups of Cube-Free Degree

DOI: 10.12677/PM.2016.61003, PP. 17-22

Keywords: 拟本原置换群，O’Nan-Scott定理，单群,Quasiprimitive Permutation Group, O’Nan-Scott Theorem, Simple Group

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Abstract:

Li和Seress [The primitive permutation groups of square-free degree, BULL. London Math. Soc. 35 (2003), 635-644]分类了平方自由次本原置换群。本文我们将给出立方自由次拟本原置换群的刻画，并提出几个关联的、有待进一步研究的问题。

Li and Seress [The primitive permutation groups of square-free degree, BULL. London Math. Soc. 35 (2003), 635-644] classified primitive permutation groups of square-free degree. In this paper, we will characterize quasiprimitive permutation groups of cube-free degree, and give several problems worth further research.

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