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arXiv · 2506.20692

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

Iffat Jahan·Ananya Manas
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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.

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BibTeXRIS

Iffat Jahan, Ananya Manas. 2025-06-25. Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer. https://doi.org/10.1080/16168658.2022.2152823

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