1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?

  4. Jun 5, 2012 #3

    THis question doesn't belong at all in science education, but in "Abstract Algebra" in the math department
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Subgroup of finite index
  1. Index of subgroups (Replies: 4)