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arXiv · 1509.00783

PSL(2,C), the exponential and some new free groups

Daniel Panazzolo
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Abstract

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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Daniel Panazzolo. 2017-06-14. PSL(2,C), the exponential and some new free groups. https://arxiv.org/abs/1509.00783

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