Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group
In this article it is proved that a torsion-free locally nilpotent groups with non-trivial Fitting subgroup and every proper homomorphic image an \(\bf N_{1}\)-group is an \(\bf N_{1}\)-group(and so it is nilpotent).
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990 |
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| Journal Title: | Algebra and Discrete Mathematics |