๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quasi-convex groups of isometries of negatively curved spaces

โœ Scribed by Eric L. Swenson

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
102 KB
Volume
110
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

โœฆ Synopsis

Let H be a properly discontinuous group of isometries of a negatively curved (Gromov hyperbolic) metric space X. We give equivalent conditions on H to be quasi-convex. The main application of this is to give alternate definitions of quasi-convex, or rational subgroups of negatively curved (word hyperbolic) groups.

๐Ÿ“œ SIMILAR VOLUMES

Quasi-isometries and ends of groups
Quasi-isometries and ends of groups
โœ Stephen G. Brick ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 673 KB
Structure of isometry group of bilinear
Structure of isometry group of bilinear spaces
โœ Dragomir ลฝ. ฤokoviฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

We describe the structure of the isometry group G of a finite-dimensional bilinear space over an algebraically closed field of characteristic not two. If the space has no indecomposable degenerate orthogonal summands of odd dimension, it admits a canonical orthogonal decomposition into primary comp

Some properties of locally quasi-convex
Some properties of locally quasi-convex groups
โœ M. Montserrat Bruguera ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB

We prove in this paper that for a Hausdorff group topology on an Abelian group with sufficiently many continuous characters, there is an associated locally quasi-convex topology which is the strongest among all the locally quasi-convex group topologies weaker than the given one. We a/so give a resul