Weight Tests and Hyperbolic Groups

  • Stephan Rosebrock
  • Published 1995


The notion of reduced diagram plays a fundamental role in small cancellation theory and in tests for detecting asphericity of 2-complexes. By introducing vertex reduced as a stricter form of reducedness in diagrams we obtain a new combinatorial notion of asphericity for 2-complexes, called vertex asphericity, which generalizes diagrammatic reducibility and… (More)


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