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Solvable Groups of Exponential Growth and HNN Extensions

Roger Alperin
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Abstract

We prove the following version of Milnor's theorem on solvable groups of exponential growth: A finitely generated solvable group which is not polycyclic contains an ascending HNN extension. Consequently, a finitely generated solvable group is ERF iff it is polycyclic.

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Roger Alperin. 1999-12-07. Solvable Groups of Exponential Growth and HNN Extensions. https://arxiv.org/abs/math/9912040

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