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Algebra and Discrete Mathematics, 2004, Issue 2, Pages 56–58
(Mi adm338)
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RESEARCH ARTICLE
Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group
Selami Ercan Gazi Üniversitesi, Gazi Egitim Fakültesi, Matematik Egitimi, 06500 Teknikokullar, Ankara, Turkiye
Abstract:
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).
Keywords:
all subgroups subnormal, torsion-free group, locally nilpotent groups, homomorphic image.
Received: 09.04.2004 Revised: 24.05.2004
Citation:
Selami Ercan, “Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group”, Algebra Discrete Math., 2004, no. 2, 56–58
Linking options:
https://www.mathnet.ru/eng/adm338 https://www.mathnet.ru/eng/adm/y2004/i2/p56
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Abstract page: | 113 | Full-text PDF : | 76 | First page: | 1 |
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