Find an abelian group (G,+) and its three subgroups,
G1, G2,G3 such as Gi ∩ Gj = {0},
for i, j, and G = G1 + G2 + G3 is NOT the direct product
of
G1, G2,
G3. Also consider whether the Z30 is the
direct product of of the subgroups <6¯>, <10¯>,
<15¯>.
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