%0 Journal Article
%T 半次覆盖远离子群和有限群的可解性<br>SEMI-SUBNORMAL-COVER-AVOIDANCE SUBGROUPS AND THE SOLVABLITY OF FINITE GROUPS
%A 作者
%A 李士恒
%A 柳海萍
%A 刘冬华
%J 数学杂志
%D 2017
%X 本文定义了有限群的半次覆盖远离子群概念，研究了半次覆盖远离子群和有限群的可解性问题.利用某些半次覆盖远离子群刻划了有限群的可解性，得到了若所有的sylow子群（或极大子群）半次覆盖远离则群可解，推广了文献[6]中的结果.<br>In this paper, we define semi-subnormal-cover-avoidance subgroups of finite groups and study the solvability between groups and their semi-subnormal-cover-avoidance subgroups. With semi-subnormal-cover-avoidance subgroups, we characterize the solvability of finite groups and obtain the results that the group is soluble if all of its sylow groups (or maximal subgroups) are semi-subnormal-cover-avoidance subgroups, which generalize the results in[6]
%K 有限群 半次覆盖远离子群 极大子群 可解&lt
%K br&gt
%K finite group Semi-subnormal-cover-avoidance subgroups maximal subgroups solvable
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170622&flag=1