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On groups acting on nonpositively curved cubical complexes

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Publication:1594942
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zbMath0989.20029MaRDI QIDQ1594942

Jacek Świątkowski, Werner Ballmann

Publication date: 30 January 2001

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)


zbMATH Keywords

subgroups of finite indexautomorphism groupsnonpositive curvaturegroup actions on treescubical complexesfoldable complexes


Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Groups acting on trees (20E08)


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Foldable cubical complexes of nonpositive curvature. ⋮ Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi). ⋮ A combination theorem for special cube complexes. ⋮ Tits alternative for closed real analytic 4-manifolds of nonpositive curvature. ⋮ On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanes ⋮ The tame automorphism group of an affine quadric threefold acting on a square complex ⋮ Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes



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