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Patterns theory and geodesic automatic structure for a class of groups

Murray J Elder
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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.

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Murray J Elder. 2006-11-28. Patterns theory and geodesic automatic structure for a class of groups. https://doi.org/10.1142/s0218196703001274

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