The triangle groups (2,4,5) and (2,5,5) are not systolic

preprint2020arXivOpen access

In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups $(2,4,5)$ and $(2,5,5)$ are not systolic. Along the way we prove some results about subsets of systolic complexes stable under involutions.

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The triangle groups (2,4,5) and (2,5,5) are not systolic

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