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오늘 본 자료
Quasinormal Subgroups in Division Rings Radical over Proper Division Subrings
Trinh Thanh Deo,Le Qui Danh 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.2
The motivation for this study comes from a question posed by I.N. Herstein in the Israel Journal of Mathematics in 1978. Specifically, let D be a division ring with center F. The aim of this paper is to demonstrate that every quasinormal subgroup of the multiplicative group of D, which is radical over some proper division subring, is central if one of the following conditions holds: (i) D is weakly locally finite; (ii) F is uncountable; or (iii) D is the Mal’cev-Neumann division ring