On Engel quasi-normal subgroup in division rings with uncountable center
Commun. Korean Math. Soc. 2020 Vol. 35, No. 4, 1087-1093 https://doi.org/10.4134/CKMS.c200105 Published online September 3, 2020 Printed October 31, 2020
Khoi Minh Nguyen-Duy Vietnam National University
Abstract : 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