Isometries of systolic spaces

• Autorzy: Tomasz Elsner
• Języki publikacji: EN

Abstrakty

EN

We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.

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: 2009
• Tom: 204
• Numer: 1
• Strony: 39-55

Daty

wydano

2009

Twórcy

autor

Tomasz Elsner

• Department of Mathematics, The Ohio State University, 231 W 18th Ave., Columbus, OH 43210, U.S.A.
• Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/fm204-1-3