- #1
Lee33
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Homework Statement
Prove that any group of order ##15## is cyclic.
2. The attempt at a solution
I am looking at a link here: (http://www.math.rice.edu/~hassett/teaching/356spring04/solution.pdf) and I am confused why "there must be one orbit with five elements and three orbits with three elements" and "fixed points of this action are just elements of the center of ##G.## In our situation, it suffices to show that ##G## has just one fixed point ##\ne e##."
Why are those the cases?