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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2004
1. Verfasser: Ercan, S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2004
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/156415
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-156415
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Torsion-free groups with every proper homomorphic image an N₁-group
spellingShingle Torsion-free groups with every proper homomorphic image an N₁-group
Ercan, S.
title_short 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_sort torsion-free groups with every proper homomorphic image an n₁-group
author Ercan, S.
author_facet Ercan, S.
publishDate 2004
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
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).
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/156415
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.
work_keys_str_mv AT ercans torsionfreegroupswitheveryproperhomomorphicimageann1group
first_indexed 2025-12-07T13:28:42Z
last_indexed 2025-12-07T13:28:42Z
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