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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| Datum: | 2004 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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). |
|---|