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Math Help - subgroup and orders, H∩K={e}

  1. #1
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    subgroup and orders, H∩K={e}

    Suppose H and K are distinct subgroups of a finite group G, and the orders of H and K are relatively prime, then prove H∩K={e}
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  2. #2
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    Pick a \in H \cap K then if ord(a)=b we have b \vert \vert H \vert and b \vert \vert K \vert so b \vert (\vert H \vert , \vert K \vert )=1 so...
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