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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Originally Posted by thomas_donald 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!!): $\displaystyle (H_1 \cap H_2)g=H_1g \cap H_2g,$ for all $\displaystyle g \in G.$
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