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