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

2025/06/25 by Jahan, Iffat, Manas, Ananya · 3 citations
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2506.20192

Abstract

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.

Citations

• Maximal and Frattini L-Subgroups of an L-Group
• L-fuzzy sets

Cited by

• Abnormal and Contranormal L-Subgroups of an L-group
• Pronormal L-subgroups of an L-group
• Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer

Related

• Maximal and Frattini L-Subgroups of an L-Group
• Pronormal L-subgroups of an L-group
• Maximal subgroups of countable groups, a survey
• Maximal linear groups induced on the Frattini quotient of a p-group
• Abnormal and Contranormal L-Subgroups of an L-group