论文标题
$π$ - 分组的Carter子组的扩展
Extension of Carter subgroups in $π$-separable groups
论文作者
论文摘要
令$π$为一组素数。我们表明,$π$分离的群体具有一类的亚组类别,专门针对卡特亚组,即自我归一化的nilpotent子组,或等效地,nilpotent投影仪,专门针对可溶性组。
Let $π$ be a set of primes. We show that $π$-separable groups have a conjugacy class of subgroups which specialize to Carter subgroups, i.e. self-normalizing nilpotent subgroups, or equivalently, nilpotent projectors, when specializing to soluble groups.