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Original Articles

On the Proof of Some Theorem on Locally Nilpotent Subgroups in Division Rings

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Pages 401-403 | Received 06 Dec 2009, Published online: 04 Jan 2013
 

Abstract

In Hai and Thin [Citation1], there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring D is central (see [Citation1, Theoerem 2.2]). Unfortunately, there is some mistake in the proof of this theorem. In this note, we give the another proof of this theorem.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors thank Mojtaba Ramezannassab for his remarks concerning the proof of our theorem in Hai-Thin [Citation1, Theoerem 2.2]. They are also extremely grateful for the support given by Vietnam National Foundation for Science and Technology Development (NAFOSTED) undergrant 101.01-2011.16.

Notes

Communicated by V. A. Artamonov.

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