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arXiv · 2506.22528

Abnormal and Contranormal L-Subgroups of an L-group

Ananya Manas·Iffat Jahan
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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.

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Ananya Manas, Iffat Jahan. 2025-06-27. Abnormal and Contranormal L-Subgroups of an L-group. https://arxiv.org/abs/2506.22528

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