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 November 25th, 2009, 06:34 AM #1 Member   Joined: Oct 2009 Posts: 85 Thanks: 0 Normal Subgroup Suppose $H$ and $K$ are normal subgroups of a group $G$. Show that $H \cap K$ is a normal subgroup of $G$. This proof is giving me trouble, any help is greatly appreciated.
 November 25th, 2009, 09:46 AM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Normal Subgroup What have you done so far? I recommend rewriting the phrase "H is a normal subgroup of G" (and all the other phrases in the problem) using the definition of normal subgroup (or the intersection).

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