Nonpositive immersions, sectional curvature, and subgroup properties.(English)Zbl 1059.20041

Summary: This announcement describes research concerning local quasiconvexity, coherence, compact cores, and local indicability for fundamental groups of certain $$2$$-complexes.

MSC:

 20F67 Hyperbolic groups and nonpositively curved groups 20F05 Generators, relations, and presentations of groups 57M05 Fundamental group, presentations, free differential calculus 57M07 Topological methods in group theory 57M20 Two-dimensional complexes (manifolds) (MSC2010)
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References:

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