- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Thanks to those who participated in last week's POTW!! Here's this week's problem!
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Problem: Let $H$ and $K$ be subgroups of a group $G$. Define $HK = \{hk : h\in H, k\in K\}$. Show that $HK$ is a subgroup of $G$ if and only if $HK=KH$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Let $H$ and $K$ be subgroups of a group $G$. Define $HK = \{hk : h\in H, k\in K\}$. Show that $HK$ is a subgroup of $G$ if and only if $HK=KH$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!