(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that the torsion subgroup T of an abelian group G is a normal subgroup of G, and that G/T is torsion free.

2. Relevant equations

3. The attempt at a solution

The second part of this exercise makes absolutely no sense to me. We know nothing about G, so why is there any reason that the nonidentity elements of G/T would all have infinite order. G could even be finite. Is the statement of the question correct? Should G be a torsion free group?

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# Homework Help: Group theory question

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