Torsion-free groups with every proper homomorphic image an N₁-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 N₁-group is an N₁-group(and so it
 is nilpotent).
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156415 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Torsion-free groups with every proper homomorphic image an N₁-group / S. Ercan // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 56–58. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862622971922743296 |
|---|---|
| author | Ercan, S. |
| author_facet | Ercan, S. |
| citation_txt | Torsion-free groups with every proper homomorphic image an N₁-group / S. Ercan // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 56–58. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 N₁-group is an N₁-group(and so it
is nilpotent).
|
| first_indexed | 2025-12-07T13:28:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156415 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:28:42Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ercan, S. 2019-06-18T13:29:31Z 2019-06-18T13:29:31Z 2004 Torsion-free groups with every proper homomorphic image an N₁-group / S. Ercan // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 56–58. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20E15, 20F14. https://nasplib.isofts.kiev.ua/handle/123456789/156415 In this article it is proved that a torsion-free
 locally nilpotent groups with non-trivial Fitting subgroup and every
 proper homomorphic image an N₁-group is an N₁-group(and so it
 is nilpotent). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Torsion-free groups with every proper homomorphic image an N₁-group Article published earlier |
| spellingShingle | Torsion-free groups with every proper homomorphic image an N₁-group Ercan, S. |
| title | Torsion-free groups with every proper homomorphic image an N₁-group |
| title_full | Torsion-free groups with every proper homomorphic image an N₁-group |
| title_fullStr | Torsion-free groups with every proper homomorphic image an N₁-group |
| title_full_unstemmed | Torsion-free groups with every proper homomorphic image an N₁-group |
| title_short | Torsion-free groups with every proper homomorphic image an N₁-group |
| title_sort | torsion-free groups with every proper homomorphic image an n₁-group |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156415 |
| work_keys_str_mv | AT ercans torsionfreegroupswitheveryproperhomomorphicimageann1group |