R-trees and the Bieri-Neumann-Strebel invariant

• Autores: Gilbert Levitt
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 1, 1994, págs. 195-202
• Idioma: inglés
• Títulos paralelos:
  • Arboles-R y el invariante Bieri-Neumann-Strebel
• Enlaces
  • Texto completo
• Resumen

  • Let $G$ be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant $\Sigma (G)$, in terms of geometric abelian actions on ${\bold R}$-trees. We provide a proof of Brown's characterization of $\Sigma (G)$ by exceptional abelian actions of $G$, using geometric methods.