The word problem for Pride groups

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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 logoORCID: https://orcid.org/0000-0002-3814-8743;
  • Item type:Article
    ID code:57660
    Dates:
    Date
    Event
    2014
    Published
    7 December 2013
    Published Online
    Notes: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:15 Dec 2024 01:17
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/57660
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