2 citations · 3 across the 2 of their papers we have counts for
5 papers
Lecture notes on CAT(0) cube complexes
Petra Schwer
These notes grew out of two lectures I have given on CAT(0) cube complexes. I've tried to keep the material elementary and self-contained in order to keep the material easily acces…
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…
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 $…
Epimorphisms of pseudo-quadratic polar spaces
Petra Schwer, Koen Struyve
We classify the epimorphisms of the buildings , where l is at least two, of pseudo-quadratic form type. This completes the classification of epimorphisms of…
Axioms of affine buildings
Petra N. Schwer
We prove equivalence of certain axiom sets for affine buildings. Along the lines a purely combinatorial proof of the existence of a spherical building at infinity is given. As a co…