Splittings and C- complexes

Mahan, Mj. ; Peter, Scott ; Gadde, Swarup (2009) Splittings and C- complexes Algebraic and Geometric Topology, 9 . pp. 1971-1986. ISSN 1472-2747

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Official URL: http://maths.rkmvu.ac.in/~mahan/cxsplit.pdf


The intersection pattern of the translates of the limit set of a quasiconvex subgroup of a hyperbolic group can be coded in a natural incidence graph, which suggests connections with the splittings of the ambient group. A similar incidence graph exists for any subgroup of a group. We show that the disconnectedness of this graph for codimension one subgroups leads to splittings. We also reprove some results of Peter Kropholler on splittings of groups over malnormal subgroups and variants of them.

Item Type:Article
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ID Code:89535
Deposited On:28 Apr 2012 12:57
Last Modified:19 May 2016 04:03

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