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A note on locally soluble almost subnormal subgroups in divsion rings | ||
| International Journal of Group Theory | ||
| مقاله 20، دوره 10، شماره 1، خرداد 2021، صفحه 39-46 اصل مقاله (199.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2019.116399.1546 | ||
| نویسنده | ||
| Truong Huu Dung* | ||
| Faculty of Mathematics and Computer Science, VNUHCM-University of Science, 227 Nguyen Van Cu Str., Dist. 5, HCM-City, Vietnam | ||
| چکیده | ||
| 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}. | ||
| کلیدواژهها | ||
| Division ring؛ almost subnormal subgroup؛ locally soluble | ||
| مراجع | ||
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