A uniform model for almost convexity and rewriting systems

作者:Brittenham Mark*; Hermiller Susan
来源:Journal of Group Theory, 2015, 18(5): 805-828.
DOI:10.1515/jgth-2015-0011

摘要

We introduce a topological property for finitely generated groups, called stackable, that implies the existence of an inductive procedure for constructing van Kampen diagrams with respect to a particular finite presentation. We also define algorithmically stackable groups, for which this procedure is an algorithm. This property gives a common model for algorithms arising from both rewriting systems and almost convexity for groups.

  • 出版日期2015-9