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Viking85
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Homework Statement
Prove that a group of order 42 has a nontrivial normal subgroup
Homework Equations
We are supposed to use Cauchys Theorem to solve the problem
We are not allowed to use any of Sylows Theorems
The Attempt at a Solution
By using Cauchys Theorem i know there there is an element of order 7
I then let A = <a> where o(a)=7
Essentially i know the normal subgroup is of order 7, but i need to still show it is normal