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arxiv: 0711.4081 · v1 · submitted 2007-11-26 · 🧮 math.GR · math.GT

Ideal boundary of 7-systolic complexes and groups

classification 🧮 math.GR math.GT
keywords groupssystolicboundaryidealsomeasphericalboundariesclass
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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.

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