标题:
立方自由次拟本原置换群On Quasiprimitive Permutation Groups of Cube-Free Degree
作者:
彭仕芹, 余小芬, 潘江敏
关键字:
拟本原置换群, O’Nan-Scott定理, 单群;Quasiprimitive Permutation Group, O’Nan-Scott Theorem, Simple Group
期刊名称:
《Pure Mathematics》, Vol.6 No.1, 2016-01-21
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.