Hi everyone,

the question is:

If N is normal subgroup of G and H is any subgroup of G. Show H∩N is a normal subgroup of H.

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- Jan 30th 2011, 09:50 AMnikie1o2Show H∩N is a normal subgroup of H
Hi everyone,

the question is:

If N is normal subgroup of G and H is any subgroup of G. Show H∩N is a normal subgroup of H. - Jan 30th 2011, 12:00 PMDrSteve
It is easy to check that he intersection of 2 subgroups is a subgroup (can you do this?)

Now, let and . Then because and are in and is a group. Also, because is normal in .