Boundaries of \(\text{CAT}(0)\) groups of the form \(\Gamma=G\times H\)

DOI10.1016/S0166-8641(97)00236-8zbMath0941.20047MaRDI QIDQ1292741

Kim E. Ruane

Publication date: 1 August 2000

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

word hyperbolic groupsCAT(0) spacesgeometric actionsCAT(0) groupsboundaries of groupsTits metric

Mathematics Subject Classification ID

Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67) Other geometric groups, including crystallographic groups (20H15)

Related Items (6)

Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence ⋮ On splitting theorems for \(\mathrm{CAT}(0)\) spaces and compact geodesic spaces of non-positive curvature. ⋮ Homotopy equivalent boundaries of cube complexes ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Generalizing the Croke-Kleiner construction ⋮ Examples of non-rigid \(\text{CAT}(0)\) groups from the category of knot groups.

Cites Work

• Manifolds of nonpositive curvature
• Some geometric groups with rapid decay
• Fixed points in boundaries of negatively curved groups
• Boundaries of nonpositively curved groups of the form G × ℤⁿ
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
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