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.
拟本原置换群,O’Nan-Scott定理,单群;Quasiprimitive Permutation Group O’Nan-Scott Theorem Simple Group立方自由次拟本原置换群
彭仕芹1,余小芬2,潘江敏1*
1云南财经大学统计与数学学院,云南 昆明
2内江师范学院数学与信息科学学院,四川 内江
收稿日期:2015年12月14日;录用日期:2016年1月17日;发布日期:2016年1月21日
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。
彭仕芹,余小芬,潘江敏. 立方自由次拟本原置换群 On Quasiprimitive Permutation Groups of Cube-Free Degree[J]. 理论数学, 2016, 06(01): 17-22. http://dx.doi.org/10.12677/PM.2016.61003
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