首页 | 本学科首页   官方微博 | 高级检索  
     

有限群的Fuzzy次正规子群与Fuzzy极大子群
引用本文:张桂生. 有限群的Fuzzy次正规子群与Fuzzy极大子群[J]. 模糊系统与数学, 1996, 10(1): 48-54
作者姓名:张桂生
作者单位:广西工学院
摘    要:本文研究了有限群的F次正规子群,得出了一个F子群是F次正规子群的充要条件,讨论了F次正规子群的一些重要性质。另外,本文还引入了有限群的F极大子群的概念,给出了F子群是F极大群的充要条件。最后,给出了三个定理,讨论了有限群G可解、超可解、幂零与G的F次正规子群、F极大子群之间的联系。

关 键 词:Fuzzy子群;Fuzzy次正规子群;Fuzzy极大子群

The Fuzzy Subnormal Subgroups and Fuzzy Maximum Subgroups of Finite Groups
Zhang Guisheng. The Fuzzy Subnormal Subgroups and Fuzzy Maximum Subgroups of Finite Groups[J]. Fuzzy Systems and Mathematics, 1996, 10(1): 48-54
Authors:Zhang Guisheng
Abstract:In this paper, We study the fuzzy subnormal subgroup of a finite group G. The concept of the fuzzy maximum subgroup of a finite group G is described. The sufficient andnecessary condition is given to prove that a fuzzy subgroup p is a fuzzy subnormal (maximum ) subgroup. Some of interesting consequences of the fuzzy subnormal subgroup arealso given. In addition, We study the relationship between the soluble (supersoluble,nilpotent) group G and the fuzzy subnormal (maximum) subgroup of G and give threetheorems.
Keywords:Fuzzy subgroup  Fuzzy subnormal subgroup  Fuzzy maximum subgroup  
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号