(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the minimum number of generators needed for Z2+Z2+Z2? Find a set of generators and relations for this group.

2. Relevant equations

3. The attempt at a solution

I think it is obvious that the minimum amount of generators that you need is three, with Z2+Z2+Z2 = {a,b,c|a^2=b^2=c^2} but I don't know what I have to put down for the relations in the group and I am not sure how to explain that the minimum is 3 generators. Any help would be great!!!

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# Homework Help: Abstract algebra

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