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

Author: Hai Bui Xuan   Thin Nguyen Van  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.41, Iss.1, 2013-01, pp. : 401-403

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Abstract

In Hai and Thin [1], there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring D is central (see [1, 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.