- #1
tyrannosaurus
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Homework Statement
What is the minimum number of generators needed for Z2+Z2+Z2? Find a set of generators and relations for this group.
Homework Equations
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!