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Show that [itex]\langle[/itex] a,b [itex]\rangle[/itex] = [itex]\langle[/itex] a,ab [itex]\rangle[/itex] = [itex]\langle[/itex] a^-1,b^-1 [itex]\rangle[/itex] for all a and b in a group G

I am not sure what this question is asking. Does this notation mean that a the cyclic group is generated by a,b and any combination of the two?

I am not sure what this question is asking. Does this notation mean that a the cyclic group is generated by a,b and any combination of the two?

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