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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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-990 |
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oai:ojs.admjournal.luguniv.edu.ua:article-9902018-05-15T05:12:44Z Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group Ercan, Selami all subgroups subnormal, torsion-free group, locally nilpotent groups, homomorphic image 20E15, 20F14 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). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990 Algebra and Discrete Mathematics; Vol 3, No 2 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990/519 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-15T05:12:44Z |
| collection |
OJS |
| language |
English |
| topic |
all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14 |
| spellingShingle |
all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14 Ercan, Selami Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| topic_facet |
all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14 |
| format |
Article |
| author |
Ercan, Selami |
| author_facet |
Ercan, Selami |
| author_sort |
Ercan, Selami |
| title |
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| title_short |
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| title_full |
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| title_fullStr |
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| title_full_unstemmed |
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group |
| title_sort |
torsion-free groups with every proper homomorphic image an \(\bf n_1\)-group |
| description |
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). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990 |
| work_keys_str_mv |
AT ercanselami torsionfreegroupswitheveryproperhomomorphicimageanbfn1group |
| first_indexed |
2025-07-17T10:36:50Z |
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2025-07-17T10:36:50Z |
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1837890128086827008 |