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November 8th, 2016, 02:03 AM   #1
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Presentation of a group

Hi
I have the following group presentation
G = a,b,c | ab = ba, ac = ca, bc = cb, a^2 = b^3 = c^3 = e.
I need to show that all the elements of G can be written in the standard form
a^ib^jc^k for i ∈{0,1} and j,k ∈{0,1,2}.
I'm not really sure how to go about this so any help would be great.
Thanks, Alex
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