Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer

2025/06/25 by Jahan, Iffat, Manas, Ananya · 2 citations
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2506.20692

Abstract

In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts. Also, the notion of conjugacy has been investigated in the context of normality of L-subgroups. Furthermore, some important relationships between conjugate L-subgroups and normalizer have also been established. Finally, the normalizer of an L-subgroup of an L-group has been defined by using the notion of conjugate L-subgroups.

Citations

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

Related

• Abnormal and Contranormal L-Subgroups of an L-group
• Pronormal L-subgroups of an L-group
• An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group
• Maximal and Frattini L-Subgroups of an L-Group
• Conjugacy problem for subgroups with applications to Artin groups and braid type groups