Patterns theory and geodesic automatic structure for a class of groups

Elder, MJ

Patterns theory and geodesic automatic structure for a class of groups

Elder, MJ

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Publication Type:: Journal Article
Citation:: International Journal of Algebra and Computation, 2003, 13 (2), pp. 203 - 230
Issue Date:: 2003-04-01

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Field	Value	Language
dc.contributor.author	Elder, MJ https://orcid.org/0000-0002-2438-3945	en_US
dc.date.issued	2003-04-01	en_US
dc.identifier.citation	International Journal of Algebra and Computation, 2003, 13 (2), pp. 203 - 230	en_US
dc.identifier.issn	0218-1967	en_US
dc.identifier.uri	http://hdl.handle.net/10453/98770
dc.description.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.	en_US
dc.relation.ispartof	International Journal of Algebra and Computation	en_US
dc.relation.isbasedon	10.1142/S0218196703001274	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Patterns theory and geodesic automatic structure for a class of groups	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	13	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	13	en_US

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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http://hdl.handle.net/10453/98770