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Does anyone know how to describe Möbius transformations with integer coefficients defined on the upper half plane in terms of $z+1$ and $1/z$? Some people call it the modular group.

I would appreciate any suggestions. Thanks.

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    http://en.wikipedia.org/wiki/Modular_group2012-08-15
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    Also, the title is a bit misleading: http://en.wikipedia.org/wiki/Modular_representation :)2012-08-15
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    @tomasz , "a bit"? It's a completely different branch!2012-08-15

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