$Torsion-free groups with every proper homomorphic image an $\bf N_1$-group$

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
Main Author:	Ercan, Selami
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	all subgroups subnormal torsion-free group locally nilpotent groups homomorphic image 20E15 20F14
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/990
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-990
record_format	ojs
spelling	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
last_indexed	2025-07-17T10:36:50Z
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Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group

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