Volume 8, issue 1 (2008)

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Ideal boundary of $7$–systolic complexes and groups

Damian Osajda

Algebraic & Geometric Topology 8 (2008) 81–99
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.

Keywords
7–systolic groups, Gromov boundary, simplicial nonpositive curvature
Primary: 20F65
Secondary: 20F69
Publication
Accepted: 23 August 2007
Published: 8 February 2008
Authors
 Damian Osajda Instytut Matematyczny Uniwersytet Wrocławski pl. Grunwaldzki 2/4 50-384 Wrocław Poland Institut de Mathématiques de Jussieu Université Paris 6 Case 247, 4 Place Jussieu 75252 Paris Cedex 05 France