Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer
arXiv:2506.20692 · doi:10.1080/16168658.2022.2152823
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.
arXiv admin note: text overlap with arXiv:2001.04088. text overlap with arXiv:2506.20192