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arXiv · 2001.04088

Maximal and Frattini L-Subgroups of an L-Group

Iffat Jahan·Ananya Manas
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Abstract

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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BibTeXRIS

Iffat Jahan, Ananya Manas. 2020-01-13. Maximal and Frattini L-Subgroups of an L-Group. https://doi.org/10.3233/jifs-200157

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