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2009 Splittings and C–complexes
Mahan Mj, Peter Scott, Gadde Swarup
Algebr. Geom. Topol. 9(4): 1971-1986 (2009). DOI: 10.2140/agt.2009.9.1971

Abstract

The intersection pattern of the translates of the limit set of a quasi-convex 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.

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Mahan Mj. Peter Scott. Gadde Swarup. "Splittings and C–complexes." Algebr. Geom. Topol. 9 (4) 1971 - 1986, 2009. https://doi.org/10.2140/agt.2009.9.1971

Information

Received: 7 August 2009; Revised: 26 August 2009; Accepted: 31 August 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1225.20035
MathSciNet: MR2550463
Digital Object Identifier: 10.2140/agt.2009.9.1971

Subjects:
Primary: 20F67, 22E40
Secondary: 57M50

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.9 • No. 4 • 2009
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