Systolic groups acting on complexes with no flats are word-hyperbolic

• Autorzy: Piotr Przytycki
• Języki publikacji: EN

Abstrakty

EN

We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.

Kategorie tematyczne

• 20F65: Geometric group theory
• 20F67: Hyperbolic groups and nonpositively curved groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 193
• Numer: 3
• Strony: 277-283

Daty

wydano

2007

Twórcy

autor

Piotr Przytycki

• Faculty of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm193-3-4