An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group

Fuente: arXiv
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Autores principales: Jahan, Iffat, Manas, Ananya
Formato: Preprint
Publicado: 2025
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author Jahan, Iffat
Manas, Ananya
author_facet Jahan, Iffat
Manas, Ananya
contents This paper is a continuation of the study on maximal and Frattini L-subgroups of an L-group. The normality of the maximal L-subgroups of a nilpotent L-group is explored. Then, the concept of finitely generated L-subgroup is introduced and its relation with maximal condition on L-subgroups is established. Thereafter, several results pertaining to the notions of Frattini L-subgroup and finitely generated L-subgroups have been investigated.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20192
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group
Jahan, Iffat
Manas, Ananya
Group Theory
Rings and Algebras
This paper is a continuation of the study on maximal and Frattini L-subgroups of an L-group. The normality of the maximal L-subgroups of a nilpotent L-group is explored. Then, the concept of finitely generated L-subgroup is introduced and its relation with maximal condition on L-subgroups is established. Thereafter, several results pertaining to the notions of Frattini L-subgroup and finitely generated L-subgroups have been investigated.
title An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group
topic Group Theory
Rings and Algebras
url https://arxiv.org/abs/2506.20192