Let $D$ be a division ring with center $F$, $K$ a division subring of $D$ andassume that$N$ is a subnormal subgroup of the multiplicative group $D^*$ of$D$. The famous Cartan-Brauer-Hua Theorem states that if $K$ is $N$-invariant,then either $Ksubseteq F$ or $K=D$. In this note, we extend this result foralmost subnormal subgroups in $D$ provided $F$ is infinite.
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机译：让$ d $ dire rese $ f $，$ k $ a句柄$ d $ andassume，$ n $是$ n $ d ^ * $的$ d ^ * $的子正式子组。着名的Cartan-Brauer-Hua定理说，如果$ k $是$ n $ -invariant，那么$ k subseteq f $或$ k = d $。在此说明中，我们将此结果扩展到最多的子通正子组，以$为单位为$ f $是无限的。
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