Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer
Group Theory
2025-06-27 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2506.20692,
title = {Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer},
author = {Iffat Jahan and Ananya Manas},
journal= {arXiv preprint arXiv:2506.20692},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2001.04088. text overlap with arXiv:2506.20192