Truong Huu Dung - Faculty of Mathematics and Computer Science, VNUHCM-University of Science, ۲۲۷ Nguyen Van Cu Str., Dist. ۵, HCM-City, Vietnam

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 ۱]{hai_۱۳}‎.

‎Division ring‎, ‎almost subnormal subgroup‎, ‎locally soluble