Abstract Algebra

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Decomposition of Finite Abelian Groups


For each of the following Abelian Groups, decompose it up to isomorphism as a product of cyclic groups.

When your group is a direct product of cyclic groups of order $n_1, n_2, \ldots, n_r$ with $n_{i+1}$ divides $n_i$ for all $i=1, 2, \ldots, r$, your answer entered should be $n_1, n_2,\ldots, n_r$.

For example, if your group is isomorphic to $\mathbb{Z}_8\times \mathbb{Z}_4$, enter $8,2$.