PSL(2,C), the exponential and some new free groups
classification
🧮 math.DS
math.CAmath.GRmath.LO
keywords
exponentialgeneratedproveresultaffinecohenconsequencesform
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We prove a normal form result for the groupoid of germs generated by PSL(2,C) and the exponential map. As consequences, we generalize a result of Cohen about the group of translations and powers, and prove that the subgroup of Homeo(R,+infinity) generated by the positive affine maps and the exponential map is isomorphic to a HNN-extension.
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