Ideal boundary of 7-systolic complexes and groups

Details Ideal boundary of 7-systolic complexes and groups Ideal boundary of 7-systolic complexes and groups

2007-11-26

arxiv.org/abs/0711.4081v1

Mathematics

Group Theory

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

Scientific paper

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.

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