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

作者: 彭仕芹 * , 潘江敏 :云南财经大学统计与数学学院,云南 昆明 ; 余小芬 :内江师范学院数学与信息科学学院,四川 内江 ;

关键词: 拟本原置换群O’Nan-Scott定理单群Quasiprimitive Permutation Group O’Nan-Scott Theorem Simple Group

摘要:

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.

文章引用: 彭仕芹 , 余小芬 , 潘江敏 (2016) 立方自由次拟本原置换群。 理论数学, 6, 17-22. doi: 10.12677/PM.2016.61003

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