A uniform model for almost convexity and rewriting systems

Author:

Brittenham Mark,Hermiller Susan

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. HNN extensions and stackable groups;Groups, Geometry, and Dynamics;2018-08-13

2. Geometry of the word problem for 3-manifold groups;Journal of Algebra;2018-04

3. Groups, Languages and Automata;LOND MATH T;2017

4. Homology and closure properties of autostackable groups;Journal of Algebra;2016-04

5. Tame filling invariants for groups;International Journal of Algebra and Computation;2015-08

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