论文标题
$d_π$ - $π$的产品 - 兼容组的群体
The $D_π$-property on products of $π$-decomposable groups
论文作者
论文摘要
本文的目的是证明以下结果:让$π$成为一组奇数。如果$ g = ab $是两个$π$ -DECOPOSable子组的产物(即$ g $满足属性$d_π$)。
The aim of this paper is to prove the following result: Let $π$ be a set of odd primes. If the group $G=AB$ is the product of two $π$-decomposable subgroups $A=A_π\times A_{π'}$ and $B=B_π\times B_{π'}$, then $G$ has a unique conjugacy class of Hall $π$-subgroups, and any $π$-subgroup is contained in a Hall $π$-subgroup (i.e. $G$ satisfies property $D_π$).