Title of article :
A note on locally soluble almost subnormal subgroups in divsion rings
Author/Authors :
Dung, Truong Huu Dpt of Mathematics and Computer Science - VNUHCM-University of Science - Vietnam
Abstract :
Let D be a division ring with center F and assume that N is a locally soluble almost subnormal subgroup of the multiplicative group D∗ of D. We prove that if N is algebraic over F, then N is central. This answers partially /cite[Conjecture 1]{hai_13}.
Keywords
Keywords :
Division ring , almost subnormal subgroup , locally soluble
Journal title :
International Journal of Group Theory
