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November 25th, 2009, 06:34 AM   #1
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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.
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November 25th, 2009, 09:46 AM   #2
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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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