Geodesic
Ideal boundary of 7–systolic complexes and groups
Osajda, Damian1
1Instytut 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
Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 81-99
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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.

DOI : 10.2140/agt.2008.8.81
Keywords: 7–systolic groups, Gromov boundary, simplicial nonpositive curvature

Osajda, Damian  1

1 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 
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Osajda, Damian. Ideal boundary of 7–systolic complexes and groups. Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 81-99. doi: 10.2140/agt.2008.8.81

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