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Math Help - group order

  1. #1
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    group order

    If G is a group of order 40, must G have an element of order 4?
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  2. #2
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    What about (\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/5\mathbb{Z}, + ) ?
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