Algebraic & Geometric Topology

Ideal boundary of $7$–systolic complexes and groups

Damian Osajda

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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.

Article information

Algebr. Geom. Topol., Volume 8, Number 1 (2008), 81-99.

Received: 4 April 2007
Accepted: 23 August 2007
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]
Secondary: 20F69: Asymptotic properties of groups

7–systolic groups Gromov boundary simplicial nonpositive curvature


Osajda, Damian. Ideal boundary of $7$–systolic complexes and groups. Algebr. Geom. Topol. 8 (2008), no. 1, 81--99. doi:10.2140/agt.2008.8.81.

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