The word problem for Pride groups
Davidson, Peter (2014) The word problem for Pride groups. Communications in Algebra, 42 (4). pp. 1448-1459. (https://doi.org/10.1080/00927872.2012.731620)
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Abstract
Pride groups are defined by means of finite (simplicial) graphs and examples include Artin groups, Coxeter groups and generalized tetrahedron groups. Under suitable conditions we calculate an upper bound of the first order Dehn function for a finitely presented Pride group. We thus obtain sufficient conditions for when finitely presented Pride groups have solvable word problems. As a corollary to our main results we show that the first order Dehn function of a generalized tetrahedron groups, containing finite generalized triangle groups, is at most cubic.
ORCID iDs
Davidson, Peter ORCID: https://orcid.org/0000-0002-3814-8743;-
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Item type: Article ID code: 57660 Dates: DateEvent2014Published7 December 2013Published OnlineNotes: This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra in 2014, available online: http://www.tandfonline.com/10.1080/00927872.2012.731620. Subjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 02 Sep 2016 10:47 Last modified: 29 Nov 2024 01:07 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/57660