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问题及解答

[Thm]第一同构定理

Posted by haifeng on 2011-08-08 16:25:25 last update 2011-08-08 16:27:29 | Edit | Answers (0)

[亦称群同态第二基本定理(Emmy Noether)] 设 $N\trianglelefteq G,\ M\trianglelefteq G$
且 $N\subset M$, 则 $N$ 是 $M$ 的正规子群, 并且

\[ (G/N)/(M/N)\cong G/M. \]