Pronormal L-subgroups of an L-group

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Hauptverfasser: Jahan, Iffat, Manas, Ananya
Format: Preprint
Veröffentlicht: 2025
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author Jahan, Iffat
Manas, Ananya
author_facet Jahan, Iffat
Manas, Ananya
contents In this paper, the notion of pronormal L-subgroups of an L-group has been introduced by using the concept of conjugate L-subgroup. The notion of pronormal L-subgroups has been investigated in context of normality and subnormality of L-subgroups and several related properties have been established. Moreover, the relation of pronormality with normalizers and maximal L-subgroups has been explored.
format Preprint
id arxiv_https___arxiv_org_abs_2506_21652
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pronormal L-subgroups of an L-group
Jahan, Iffat
Manas, Ananya
Group Theory
Rings and Algebras
In this paper, the notion of pronormal L-subgroups of an L-group has been introduced by using the concept of conjugate L-subgroup. The notion of pronormal L-subgroups has been investigated in context of normality and subnormality of L-subgroups and several related properties have been established. Moreover, the relation of pronormality with normalizers and maximal L-subgroups has been explored.
title Pronormal L-subgroups of an L-group
topic Group Theory
Rings and Algebras
url https://arxiv.org/abs/2506.21652