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June 5th, 2013, 07:57 PM   #1
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Normal cyclic subgroup

Hi!

I'd like some advice to the following problem:

Let G be a group and T a cyclic subgroup of G. Prove that every subgroup H of T is a normal group of G.

I have not had any useful idea.

Thanks! :P
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June 6th, 2013, 05:12 AM   #2
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Re: Normal cyclic subgroup

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Originally Posted by yotastrejos
Let G be a group and T a [color=#FF0000]normal[/color] cyclic subgroup of G. Prove that every subgroup H of T is a normal group of G.
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