Abnormal and Contranormal L-Subgroups of an L-group

2025/06/27 by Manas, Ananya, Jahan, Iffat
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2506.22528

Abstract

In this paper, the concepts of abnormal and contranormal L-subgroups of an L-group have been introduced using the notion of the conjugate. Then, the properties of abnormal and contranormal L-subgroups have been studied analogous to their group-theoretic counterparts. Thereafter, several relations of abnormality and contranormality have been investigated in context of normality, maximality, normalizer and normal closure of L-subgroups of an L-group.

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

• Pronormal L-subgroups of an L-group
• Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer
• Abnormal subgroups and Carter subgroups in some infinite groups
• Maximal and Frattini L-Subgroups of an L-Group
• The class MN of groups in which all maximal subgroups are normal