English

Ideal boundary of 7-systolic complexes and groups

Group Theory 2007-11-27 v1 Geometric Topology

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

Cite

@article{arxiv.0711.4081,
  title  = {Ideal boundary of 7-systolic complexes and groups},
  author = {Damian Osajda},
  journal= {arXiv preprint arXiv:0711.4081},
  year   = {2007}
}

Comments

19 pages. Algebr. Geom. Topol., to appear

R2 v1 2026-06-21T09:47:23.327Z