Given a group G of order 22 and [tex]M = \{x \in G | x^{11}=e\}[/tex]. Prove that M is a normal subgroup of G.(adsbygoogle = window.adsbygoogle || []).push({});

I have troubles proving M is subgroup of G. If M was a subgroup, then I can show it is normal, but how to prove it's a subgroup?

I know I have to show it's closed under multiplication and opposite element, but cannot do this. May I receive some help?

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# Homework Help: Prove M is subgroup

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