On groups with linear sci growth

• Autorzy: Louis Funar , Martha Giannoudovardi , Daniele Ettore Otera
• Języki publikacji: EN

Abstrakty

EN

We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.

Kategorie tematyczne

• 20F65: Geometric group theory
• 20F67: Hyperbolic groups and nonpositively curved groups
• 57M50: Geometric structures on low-dimensional manifolds
• 22E40: Discrete subgroups of Lie groups
• 20F69: Asymptotic properties of groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 228
• Numer: 1
• Strony: 47-62

Daty

wydano

2015

Twórcy

autor

Louis Funar

• Institut Fourier, BP 74, UMR 5582, UniversitéGrenoble I, 38402 Saint-Martin-d'Hères Cedex, France

autor

Martha Giannoudovardi

• Department of Mathematics, University of Athens, 157 84 Athens, Greece

autor

Daniele Ettore Otera

• Institute of Mathematics and Informatics, Vilnius University, Akademijos st. 4, LT-08663, Vilnius, Lithuania

Identyfikatory

DOI

10.4064/fm228-1-4