Maximal and Frattini L-Subgroups of an L-Group
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866908420096917504 |
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| author | Jahan, Iffat Manas, Ananya |
| author_facet | Jahan, Iffat Manas, Ananya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_04088 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Maximal and Frattini L-Subgroups of an L-Group Jahan, Iffat Manas, Ananya Group Theory 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. |
| title | Maximal and Frattini L-Subgroups of an L-Group |
| topic | Group Theory |
| url | https://arxiv.org/abs/2001.04088 |