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May 28th, 2014, 01:05 PM   #1
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Homological Algebra

For any abelian group A and for $Z_m$(c) the cyclic group of order m and generator c there is a 1-1 correspondence

f: $Ext_z$($Z_m$(c), A) -> $\frac{A}{mA}$,

where mA is the subgroup of A consisting of all ma for a € A.

Can someone prove this please?
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