Separating quasi-convex subgroups in 7-systolic groups.

DOI10.4171/GGD/37zbMath1147.20040MaRDI QIDQ931863

Jacek Świątkowski, Frédéric Haglund

Publication date: 2 July 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1661-7207&vol=2&iss=2&rank=4

zbMATH Keywords

word hyperbolic groupssystolic complexessystolic groupscombinatorial curvatureseparable groupsquasi-convex subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

Boundaries of systolic groups. ⋮ Noncoherence of arithmetic hyperbolic lattices

Cites Work

• Unnamed Item
• An application of universal algebra in group theory
• Graphs and separability properties of groups
• The Bianchi groups are separable on geometrically finite subgroups.
• Doubles of groups and hyperbolic LERF \(3\)-manifolds
• Finitely presented simple groups and products of trees
• Coset Representations in Free Groups

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