期刊论文

Finite Groups with a Given Number of Conjugacy Classes of Non-nilpotent Maximal Subgroups

中文

数学的实践与认识

Mathematics in Practice and Theory

1000-0984

2013

25

7

190-194

10.3969/j.issn.1000-0984.2013.07.027

国家自然科学基金(11201401,11201403)； 中国博士后科学基金(2012T50010,2011M500168)；

本校为其他机构

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 maxima...