Groups whose lattices of normal subgroups are factorial
We prove that the groups \(G\) for which the lattice of normal subgroups \(\mathcal{N}(G)\) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
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| Date: | 2021 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2021
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1264 |
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| Journal Title: | Algebra and Discrete Mathematics |