Up to isomorphism, how many additive Abelian groups of order 16 have the property that $x+x+x+x=0$ for all $x$ in the group?
Added by Alexandria G.
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The order of the group is 16, so the group can be written as a direct sum of cyclic groups whose orders are powers of 2 (since 16 is a power of 2). Show more…
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