If ab=ba in a group G, let H={g[itex]\in[/itex]G|agb=bga}.(adsbygoogle = window.adsbygoogle || []).push({});

Show that H is a subgroup.

I have the identity because ab=ba implies that aeb=bea[itex]\in[/itex]H.

I cant seem to figure out how to get the inverses or closer. Any suggestions or slight nudges in the right direction?

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# Subgroup Question

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