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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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| 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| _version_ | 1856543370432741376 |
|---|---|
| author | Ercan, Selami |
| author_facet | Ercan, Selami |
| author_sort | Ercan, Selami |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T05:12:44Z |
| 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). |
| first_indexed | 2026-02-08T08:02:09Z |
| format | Article |
| id | admjournalluguniveduua-article-990 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:02:09Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | 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 |
| topic | all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14 |
| topic_facet | all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990 |
| work_keys_str_mv | AT ercanselami torsionfreegroupswitheveryproperhomomorphicimageanbfn1group |