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Homework Help: Subgroup of finite index

  1. Jun 5, 2012 #1
    show that H is subgroup of finite index in Z^n exactly when H is free comutative group of rank n
     
  2. jcsd
  3. Jun 5, 2012 #2

    What've you done? Do you know the elementary divisors theorem for fin. gen, abelian groups?

    DonAntonio
     
  4. Jun 5, 2012 #3


    THis question doesn't belong at all in science education, but in "Abstract Algebra" in the math department
     
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