Patterns Theory and Geodesic Automatic Structure for a Class of Groups

Abstract

We introduce a theory of patterns in order to study geodesics in a certain class of group presentations. Using patterns we show that there does not exist a geodesic automatic structure for certain group presentations, and that certain group presentations are almost convex.

DOI: 10.1142/S0218196703001274

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Cite this paper

@article{Elder2003PatternsTA, title={Patterns Theory and Geodesic Automatic Structure for a Class of Groups}, author={Murray J. Elder}, journal={IJAC}, year={2003}, volume={13}, pages={203-230} }