The flat closing problem for buildings

DOI10.2140/agt.2014.14.3089zbMath1331.57032arXiv1402.5554OpenAlexW3104337890MaRDI QIDQ470711

Corina Ciobotaru

Publication date: 13 November 2014

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

Full work available at URL: https://arxiv.org/abs/1402.5554

zbMATH Keywords

Gromov's flat closing problemgroups acting on buildings

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Cites Work

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• Regular elements in CAT(0) groups.
• Buildings with isolated subspaces and relatively hyperbolic Coxeter groups.
• Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups.
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Regular elements of semisimple algebraic groups
• Cartan subgroups and lattices in semi-simple groups
• Gelfand pairs and strong transitivity for Euclidean buildings
• Dynamics of the action of a \(\text{CAT}(0)\) group on the boundary