Diagram groups are totally orderable.

DOI10.1016/j.jpaa.2005.06.001zbMath1093.20023arXivmath/0305153OpenAlexW1981146734MaRDI QIDQ814772

Mark V. Sapir, Victor S. Guba

Publication date: 7 February 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305153

zbMATH Keywords

graph productsdiagram groupsindependence graphsdirected 2-complexestotally orderable groups

Mathematics Subject Classification ID

Related Items (10)

Hyperplanes of Squier's cube complexes ⋮ On diagram groups over Fibonacci-like semigroup presentations and their generalizations ⋮ R. Thompson’s group and the amenability problem ⋮ SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS ⋮ SOME GROUP THEORY PROBLEMS ⋮ SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS ⋮ Hyperbolic diagram groups are free ⋮ Universal diagram groups with identical Poincaré series. ⋮ On the conjugacy growth functions of groups. ⋮ Diagram groups and directed 2-complexes: homotopy and homology.

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• DIAGRAM GROUPS, BRAID GROUPS, AND ORDERABILITY
• RIGIDITY PROPERTIES OF DIAGRAM GROUPS
• On subgroups of R. Thompson's group $ F$ and other diagram groups
• Finiteness properties of groups

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