I see there is an old string addressing this question, but I need to prove it using set containment both directions. Not sure where to start.

a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1).

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- Apr 16th 2008, 06:30 AMGoldendoodleMomAbstract Algebra Problem
I see there is an old string addressing this question, but I need to prove it using set containment both directions. Not sure where to start.

a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1). - Apr 16th 2008, 07:51 AMIsomorphism