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anonymous

  • one year ago

List all subgroups of (Z15,+)

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  1. amistre64
    • one year ago
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    isnt it the same as the prime factorization of 15? i forgot how to make the tree tho so thats prolly not accurate

  2. amistre64
    • one year ago
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    or is it residual groups?

  3. amistre64
    • one year ago
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    closure, associativity, identity and inverse have to be included, so im thinking along the lines of \[Z_{15}/Z_{1}\] \[Z_{15}/Z_{3}\] \[Z_{15}/Z_{5}\] \[Z_{15}/Z_{15}\]

  4. thomas5267
    • one year ago
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    I think amistre64 is correct. https://en.wikipedia.org/wiki/Fundamental_theorem_of_cyclic_groups

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