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# Injections and Surjections

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.....is a commutative diagram of groups and that the rows are exact,... being homomorphisms.
Prove that
(a) if and are surjections and is an injection, then is an injection.
(b) if , and are injections, then is an injection.

2. For a group extension
{e} B H G {e}

Prove that G ~ H/ (B).

##### Solution Summary

Injections and Surjections are investigated. The solution is detailed and well presented.

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