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Patterns theory and geodesic automatic structure

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journal contribution
posted on 2025-05-08, 13:37 authored by Murray Elder
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.

History

Journal title

International Journal of Algebra and Computation

Volume

13

Issue

2

Pagination

203-230

Publisher

World Scientific Publishing

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

Electronic version of an article published as International Journal of Algebra and Computation, Volume 13, Issue 2, 2003, p.202-230 [10.1142/S0218196703001274] © copyright World Scientific Publishing Company http://www.worldscinet.com/ijac/ijac.shtml

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