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Find a group G and a subgroup H such that for x,xâ??,y,yâ?? in G, xH = xâ??H and yH = yâ??H, yet xyH does not equal xâ??yâ??H. (alternatively find an example of G and H where (xH)(yH) does not equal xyH

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Find a group G and a subgroup H such that for x,xâ??,y,yâ?? in G

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