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Abstract Algebra - Normal groups

  1. Feb 2, 2010 #1
    1. The problem statement, all variables and given/known data

    I'll be delighted to receive some guidance in the following questions:

    1. Let G1,G2 be simple groups. Prove that every normal non-trivial subgroup of G= G1 x G2 is isomorphic to G1 or to G2...

    2. Prove that every group of order p^2 * q where p,q are primes is solvable...

    2. Relevant equations
    3. The attempt at a solution

    I've no idea about the second question. But the first one seems very easy, but I can't figure out how to solve it.

    Help is needed

    Thanks in advance
  2. jcsd
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