Quasi-isometry invariance of group splittings

• Autores: Panos Papasoglu
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 161, Nº 2, 2005, págs. 759-830
• Idioma: inglés
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• Resumen

  • We show that a finitely presented one-ended group which is not commensurable to a surface group splits over a two-ended group if and only if its Cayley graph is separated by a quasi-line. This shows in particular that splittings over two-ended groups are preserved by quasi-isometries.