A smallest irreducible lattice in the product of trees.

DOI10.2140/agt.2009.9.2191zbMath1220.20039OpenAlexW2074636003MaRDI QIDQ1035324

Daniel T. Wise, David A. Janzen

Publication date: 2 November 2009

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

Full work available at URL: https://doi.org/10.2140/agt.2009.9.2191

zbMATH Keywords

fundamental groupsirreducible latticesCAT(0) cube complexesCAT(0) groupsanti-toricomplete square complexesflat planesuniversal covering spaces

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Related Items (8)

Automaton groups and complete square complexes ⋮ Commensurability of groups quasi-isometric to RAAGs ⋮ On hierarchical hyperbolicity of cubical groups ⋮ Conjugator lengths in hierarchically hyperbolic groups ⋮ New Simple Lattices in Products of Trees and their Projections ⋮ Indicability, residual finiteness, and simple subquotients of groups acting on trees ⋮ Correction to the article ``Boundaries and automorphisms of hierarchically hyperbolic spaces ⋮ Small non-Leighton two-complexes

Cites Work

• Groups with infinitely many types of fixed subgroups.
• Abelian subgroup structure of square complex groups and arithmetic of quaternions
• A flat plane that is not the limit of periodic flat planes.
• Actions of Cartan subgroups
• Complete square complexes.
• Subgroup separability of the figure 8 knot group.
• Anti-tori in square complex groups.
• Lattices in product of trees

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