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20052026
most citedThe 6-strand braid group is CAT(0)

20 citations · 67 across the 25 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.GR2018

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

Annette Karrer, Petra Schwer, Koen Struyve

In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups and are not systolic. Along the way we prove some…

math.CO2018★ 4 cited

Shadows in Coxeter groups

Marius Graeber, Petra Schwer

For a given in a Coxeter group the elements smaller than in Bruhat order can be seen as the end-alcoves of stammering galleries of type in the Coxeter complex $…

math.MG2018

A structure theorem for euclidean buildings

Petra Schwer, David Weniger

We prove an affine analog of Scharlau's reduction theorem for spherical buildings. To be a bit more precise let be a euclidean building with spherical building at…