If H is a subgroup of G, show that H is normal to the normalizer

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- Oct 31st 2009, 02:04 PMsfspitfire23One more normalizer q
If H is a subgroup of G, show that H is normal to the normalizer

- Oct 31st 2009, 02:49 PMBruno J.
is clearly a subgroup of .

To see that , take any . By definition, . Since this is true for all , the statement follows.