Parabolic isometries of CAT(0) spaces and CAT(0) dimensions.

DOI10.2140/agt.2004.4.861zbMath1073.20035arXivmath/0308274OpenAlexW3100449647MaRDI QIDQ1766283

Takashi Shioya, Koji Fujiwara, Saeko Yamagata

Publication date: 28 February 2005

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308274

zbMATH Keywords

Heisenberg groupArtin groupsCAT(0) spacesfundamental groupscomplex hyperbolic manifoldscohomological dimensionfinitely presented groupsdiscrete groupsuniversal coversgeometric dimensiondimension gapsparabolic isometriessolvable Baumslag-Solitar groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)

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