Recent content by Viking85

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    Prove that a group of order 42 has a nontrivial normal subgroup

    Well, I think that A ∩ B = 1 or 7 (Using Lagranges Theorem) If A ∩ B is 1 it results in a contradiction because that would imply ord(AB)=49 > ord(G) Which means that A ∩ B = 7 Which means the A = B ??
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    Prove that a group of order 42 has a nontrivial normal subgroup

    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...