Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices

zbMath1256.22008arXiv0803.2484MaRDI QIDQ2908723

Chris Hruska, Benson Farb, Anne Thomas

Publication date: 5 September 2012

Full work available at URL: https://arxiv.org/abs/0803.2484

zbMATH Keywords

automorphism grouppolyhedral complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Groups as automorphisms of other structures (22F50)

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The Development of the Theory of Automatic Groups ⋮ Tits Alternative for -dimensional complexes ⋮ 2-dimensional Coxeter groups are biautomatic ⋮ Normal subgroups of SimpHAtic groups ⋮ A geometric construction of panel-regular lattices for buildings of types \(\widetilde A_2\) and \(\widetilde C_2\). ⋮ Uniqueness of homogeneous CAT(0) polygonal complexes. ⋮ Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes ⋮ Quotients of buildings by groups acting freely on chambers ⋮ Isometry groups of non-positively curved spaces: discrete subgroups ⋮ Characterising vertex-star transitive and edge-star transitive graphs

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