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Lookup NU author(s): Dr Michael Batty
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We define an antisocial graph group to be a graph group arising from a graph whose clique graph is triangle free. In every dimension, the existence of graphical splittings of an antisocial graph group G is shown to correspond to nonvanishing of Betti numbers of the ball of radius 1 in the well-known cube complex on which G acts freely. This can be regarded as a first step towards generalising Stallings' ends theorem to higher dimensions. (C) 2001 Elsevier Science B.V. All rights reserved.
Author(s): Batty M
Publication type: Article
Publication status: Published
Journal: Topology and Its Applications
ISSN (print): 0166-8641
Publisher: Elsevier BV
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