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Math Help - Poincare's Theorem

  1. #1
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    Poincare's Theorem

    Let H1 & H2 be subgroups of G. How can it be shown that if H1 & H2 have finite index in G then so the intersection of H1 & H2.
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  2. #2
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    Quote Originally Posted by thomas_donald View Post

    Let H1 & H2 be subgroups of G. How can it be shown that if H1 & H2 have finite index in G then so the intersection of H1 & H2.
    Hint (acually the solution!!): (H_1 \cap H_2)g=H_1g \cap H_2g, for all g \in G.
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