Do these form a subgroup? That is to say, as the inverse of a non-torsion element (an element of non-finite order) is non-torsion, basically the question is: If we multiply two non-torsion elements together do we get another non-torsion element?

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- Jun 8th 2009, 08:03 AMSwlabrNon-torsion elements
Do these form a subgroup? That is to say, as the inverse of a non-torsion element (an element of non-finite order) is non-torsion, basically the question is: If we multiply two non-torsion elements together do we get another non-torsion element?

- Jun 8th 2009, 03:51 PMsiclar
Is the identity a nontorsion element?

- Jun 8th 2009, 04:28 PMNonCommAlg
**siclar**has already answered the question. a less trivial question is to find examples of two torsion elements of a group such that becomes non-torsion. - Jun 8th 2009, 07:20 PMJose27
- Jun 8th 2009, 11:37 PMSwlabr
- Jun 9th 2009, 12:44 AMNonCommAlg