a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1). Prove/disprove. I can't even tell if this is true or false so I really can't prove it!
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Originally Posted by fulltwist8 a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1). Prove/disprove. I can't even tell if this is true or false so I really can't prove it! Hint: if and only if and same situation with .
Last edited by ThePerfectHacker; February 27th 2008 at 07:25 PM.
Originally Posted by ThePerfectHacker Hint: if and only if
Originally Posted by JaneBennet It makes no difference. Because if then . EDIT: Okay, I see I wrote it the other way around.
ok thanks, i figured that out!!... but what about if it's "If aH = bH, then a^2 H = b^2 H"?
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