Affine Geometry

dazed&confused

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Joined
May 8, 2009
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Hey! I'm afraid i'm completely lost with this, any hints please on how to go about answering would be very much appreciated.

For any subset ¬ of the affine plane R^2, let G(¬) denote the group of all affine transformations f of R^2 such that f(¬) = ¬.
Exercise: Find all the elements of the group G = G(¬), where ¬ is the hyperbola xy = 1 in R^2.

Thanks x
 
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