anonymous
  • anonymous
List all subgroups of (Z15,+)
Algebra
schrodinger
  • schrodinger
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amistre64
  • amistre64
isnt it the same as the prime factorization of 15? i forgot how to make the tree tho so thats prolly not accurate
amistre64
  • amistre64
or is it residual groups?
amistre64
  • amistre64
closure, associativity, identity and inverse have to be included, so im thinking along the lines of \[Z_{15}/Z_{1}\] \[Z_{15}/Z_{3}\] \[Z_{15}/Z_{5}\] \[Z_{15}/Z_{15}\]

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

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