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The torsion subset T of G is the subset of G consisting of all elements that have finite order.

Let G be a finitely generated group with nontrivial finite derived subgroup.is the torsion subset T form a subgroup of G?

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    What is a derived subgroup?2012-11-08
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    The derived subgroup of a group is the subgroup generated by all the commutators of the group.2012-11-08
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    If the derived subgroup be trivial then G is abelian group and clearly T is a form subgroup of G.2012-11-08
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    This is true for nilpotent group G that T is a form subgroup of G as well.2012-11-08
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    Well it's true in $G/G'$, and $G'$ is finite.2012-11-08

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