Open Access
2008 Ideal boundary of $7$–systolic complexes and groups
Damian Osajda
Algebr. Geom. Topol. 8(1): 81-99 (2008). DOI: 10.2140/agt.2008.8.81

Abstract

We prove that ideal boundary of a 7–systolic group is strongly hereditarily aspherical. For some class of 7–systolic groups we show their boundaries are connected and without local cut points, thus getting some results concerning splittings of those groups.

Citation

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Damian Osajda. "Ideal boundary of $7$–systolic complexes and groups." Algebr. Geom. Topol. 8 (1) 81 - 99, 2008. https://doi.org/10.2140/agt.2008.8.81

Information

Received: 4 April 2007; Accepted: 23 August 2007; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1147.20037
MathSciNet: MR2377278
Digital Object Identifier: 10.2140/agt.2008.8.81

Subjects:
Primary: 20F65
Secondary: 20F69

Keywords: 7–systolic groups , Gromov boundary , simplicial nonpositive curvature

Rights: Copyright © 2008 Mathematical Sciences Publishers

Vol.8 • No. 1 • 2008
MSP
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