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!

Homework Help: Isomorphism problem and need help

  1. Oct 31, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that II18 / <3> is isomorphic to II3.

    2. Relevant equations
    II18 = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}
    <3> = {0,3,6,9,12,15}
    II3 = {1,2,3}
    II18 / <3> = {3,6,9,12,15,18}

    3. The attempt at a solution
  2. jcsd
  3. Oct 31, 2009 #2


    User Avatar
    Science Advisor

    Re: Isomorphism

    Looks to me like your proof says they are NOT isomorphic! If they don't have the same number of members, they certainly aren't isomorphic.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook