Let H be a normal subgroup of G. Then factor group G/H is an abelian subgroup.(adsbygoogle = window.adsbygoogle || []).push({});

For x, y not in H

xHyH=yHxH

and xyH=yxH

(xyH)(yxH)^{-1}=id

xyx^{-1}y^{-1}=id

Are these steps correct?

thnx

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# Basic group theory problem

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