摘要
证明了非幂零极大子群共轭类类数等于2的有限群必可解,并给出了非幂零极大子群同阶类类数等于2的非可解群的等价刻画.
In this paper, we prove that a finite group with exactly two conjugacy classes of nonilpotent maximal subgroups is solvable. Furthermore, we give an equivalent characterization of a finite non-solvable group with exactly two classes of nomnilpotent maximal subgroups of the same order.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第7期190-194,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11201401
11201403)
中国博士后科学基金(2012T50010
2011M500168)
关键词
有限群
幂零极大子群
可解群
finite group
nilpotent maximal subgroup
solvable group
