Pronormal L-subgroups of an L-group

2025/06/26 by Jahan, Iffat, Manas, Ananya
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2506.21652

Abstract

In this paper, the notion of pronormal L-subgroups of an L-group has been introduced by using the concept of conjugate L-subgroup. The notion of pronormal L-subgroups has been investigated in context of normality and subnormality of L-subgroups and several related properties have been established. Moreover, the relation of pronormality with normalizers and maximal L-subgroups has been explored.

Citations

• An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group
• Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer
• Maximal and Frattini L-Subgroups of an L-Group
• L-fuzzy sets

Related

• Abnormal and Contranormal L-Subgroups of an L-group
• Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer
• An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group
• On the Pronormality of Subgroups of Odd Index in Finite Simple Groups
• Maximal and Frattini L-Subgroups of an L-Group