论文标题

L组的最大和Frattini L-群

Maximal and Frattini L-Subgroups of an L-Group

论文作者

Jahan, Iffat, Manas, Ananya

论文摘要

在本文中,在经典群体理论的精神中定义了L组的最大L-群的概念。然后,已经建立了相同的级别子集表征。然后,这种最大L-组的概念已用于定义Frattini L-Subgroups。此外,已经开发了非生命值的非发电机的概念,并且与L-group的Frattini L-Subgroup的关系已经建立了像其经典的同行一样。此外,还研究了与最大L-组和Frattini L-Subgroup的概念有关的几种特性。这两个概念通过了几个示例进行了说明。

In this paper, the concept of a maximal L-subgroup of an L-group has been defined in the spirit of classical group theory. Then, a level subset characterization has been established for the same. Then, this notion of maximal L-subgroups has been used to define Frattini L-subgroups. Further, the concept of non-generators of an L-group has been developed and its relation with the Frattini L-subgroup of an L-group has been established like their classical counterparts. Moreover, several properties pertaining to the concepts of maximal L-subgroups and Frattini L-subgroup have also been investigated. These two notions have been illustrated through several examples.

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