%0 Journal Article
%T 立方自由次拟本原置换群<br>On Quasiprimitive Permutation Groups of Cube-Free Degree
%A 彭仕芹
%A 余小芬
%A 潘江敏
%J Pure Mathematics
%P 17-22
%@ 2160-7605
%D 2016
%I Hans Publishing
%R 10.12677/PM.2016.61003
%X <p style=\"text-align:justify;\">
	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。
</p>
<p style=\"text-align:justify;\">
	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.
</p>
%K 拟本原置换群，O’Nan-Scott定理，单群
%K Quasiprimitive Permutation Group
%K O’Nan-Scott Theorem
%K Simple Group
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=16793