Solvable Groups of Exponential Growth and HNN Extensions

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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.
to appear in Groups Korea-98, De Gruyter

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/79549

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912040
 http://arxiv.org/abs/math/9912040

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arXiv