Let H and K be subgroups of a group G and let HK={hk|h∈H,k∈K}
and KH={kh|k∈K,h∈H}.
Prove that HK is a group iff HK=KH.
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[問題]有關代數問題 請大家幫我解答 ~~~
由 KiKi_PaPa 於 星期二 十二月 18, 2007 7:14 pm
Let H and K be subgroups of a group G and let HK={hk|h∈H,k∈K}
and KH={kh|k∈K,h∈H}.
Prove that HK is a group iff HK=KH.