Algebraic ranks of the fundamental groups of high dimensional graph manifolds

DOI10.4134/BKMS.b200389zbMath1475.20068OpenAlexW3140630481MaRDI QIDQ4991399

Raeyong Kim

Publication date: 3 June 2021

Full work available at URL: https://koreascience.or.kr:443/article/JAKO202112354514175.pdf

zbMATH Keywords

graph of groupsBass-Serre theoryalgebraic rank of a grouphigh-dimensional graph manifolds

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Cites Work

• Unnamed Item
• Embeddings in finitely presented groups which preserve the center.
• Fundamental groups of manifolds of nonpositive curvature
• Nonpositively curved manifolds of higher rank
• Manifolds of nonpositive curvature and their buildings
• On the acylindrical accessibility of finitely presented groups
• Algebraic ranks of CAT(0) groups.
• Cartan subgroups and lattices in semi-simple groups
• RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Rigidity of high dimensional graph manifolds
• Finiteness Conditions for Soluble Groups

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