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Higher horospherical limit sets for G -modules over CAT (0)-spaces.
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . Jul2021, Vol. 171 Issue 1, p133-163. 31p. - Publication Year :
- 2021
-
Abstract
- The Σ-invariants of Bieri–Neumann–Strebel and Bieri–Renz involve an action of a discrete group G on a geometrically suitable space M. In the early versions, M was always a finite-dimensional Euclidean space on which G acted by translations. A substantial literature exists on this, connecting the invariants to group theory and to tropical geometry (which, actually, Σ-theory anticipated). More recently, we have generalized these invariants to the case where M is a proper CAT(0) space on which G acts by isometries. The "zeroth stage" of this was developed in our paper [BG16]. The present paper provides a higher-dimensional extension of the theory to the "nth stage" for any n. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP theory
*CATS
*TRANSLATING & interpreting
*DISCRETE groups
Subjects
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 171
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 150744577
- Full Text :
- https://doi.org/10.1017/S030500412000016X