November 25th, 2009, 06:34 AM  #1 
Member Joined: Oct 2009 Posts: 85 Thanks: 0  Normal Subgroup
Suppose and are normal subgroups of a group . Show that is a normal subgroup of . 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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