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Determine whether there exists a short exact sequence 0→Z4→Z8⊕Z2→Z4→0. More generally, determine which abelian groups A fit into a short exact sequence 0→Zpm→A→Zpn→0 with p prime. What about the case of short exact sequences 0→Z→A→Zn→0?
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Determine whether there exists a short exact sequence 0→Z4→Z8⊕Z2→Z4→0. More generally, determine whi...
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