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Group proof

Prove or disprove the following:

Let G be a group, f, g . G, and fg gf , then | <f, g> | > 5.

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This statement is true.

Because if |<f,g>|<=5, then H=<f,g> is a group with order less than or equal to 5.
We know the structure of all groups with order less ...

Solution Summary

This is a proof regarding a group.

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