Volume 8, issue 1 (2008)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20F69
References
Publication
Received: 4 April 2007
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