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Math Help - direct sume noncyclic subgroup

  1. #1
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    direct sume noncyclic subgroup

    List four elements of Z20+Z5+Z60that form a noncyclic subgroup. First, what would a noncyclic subgroup in this look like, I am not sure
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  2. #2
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    Quote Originally Posted by wutang View Post
    List four elements of Z20+Z5+Z60that form a noncyclic subgroup. First, what would a noncyclic subgroup in this look like, I am not sure
    Is this \mathbb{Z}_{20}\oplus\mathbb{Z}_5\oplus\mathbb{Z}_  {60}?
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  3. #3
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    That is right.
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    would (0,0,0), (10,0,30), (0,0,30), and (10,0,0) work as a noncyclic subgroup?
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    Quote Originally Posted by wutang View Post
    would (0,0,0), (10,0,30), (0,0,30), and (10,0,0) work as a noncyclic subgroup?
    yes
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  6. #6
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    thanks again, fancymouse you are a lifesaver!
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