CoreUI Logo CoreUI Logo
Answer
返回

问题及解答

群 $G$ 是子群 $H_1,\ldots,H_n$ 的直积的充要条件

Posted by haifeng on 2011-08-09 09:51:26 last update 2011-08-09 09:51:26 | Edit | Answers (0)

  1. $H_i\tianglelefteq G$, $i=1,2,\ldots,n$;
  2. $G=H_1H_2\cdots H_n$;
  3. $H_i\cap(H_1\cdots H_{i-1}H_{i+1}\cdots H_n)=1$, $i=1,2,\ldots,n$.