Ideal boundary of 7–systolic complexes and groups

Osajda, Damian

doi:10.2140/agt.2008.8.81

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Ideal boundary of $7$–systolic complexes and groups

Damian Osajda

Algebraic & Geometric Topology 8 (2008) 81–99

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.

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

Volume 8, issue 1 (2008)