Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2020; 35(4): 1087-1093

Online first article September 3, 2020      Printed October 31, 2020

https://doi.org/10.4134/CKMS.c200105

Copyright © The Korean Mathematical Society.

On Engel quasi-normal subgroup in division rings with uncountable center

Khoi Minh Nguyen-Duy

Vietnam National University

Abstract

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The aim of this paper is to show that every Engel quasi-normal subgroups of the unit group of a division ring with uncountable center is central.

Keywords: Division ring, Engel group, quasi-normal subgroup, uncountable center

MSC numbers: Primary 16R40, 16S32, 20F45

Supported by: This work is funded by Vietnam National University HoChiMinh City (VNUHCM) undergrant number B2020-18-02

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