On Schläfli's reduction formula.
On Schur-Ostrowski type theorems for group majorizations.
On the number of facets of three-dimensional Dirichlet stereohedra. II: Non-cubic groups.
Orbifold-Uniformizing Differential Equations. III. Arrangements Defined by 3-Dimensional Primitive Unitary Reflection Groups.
Orthogonalitätsrelationen mit Paralleleninvarianz und Zentralbündel von Schrägspiegelungen an Ebenen im äquiaffinen Raum
Orthogonality as single primitive notion for metric planes.
Point-reflections in metric plane.
Proper holomorphic mappings and real reflection groups.
Reflection loops of spaces with congruence and hyperbolic incidence structure
In an absolute space with congruence there are line reflections and point reflections. With the help of point reflections one can define in a natural way an addition + of points which is only associative if the product of three point reflection is a point reflection again. In general, for example for the case that is a linear space with hyperbolic incidence structure, the addition is not associative. is a K-loop or a Bruck loop.
Réseaux de Coxeter-Davis et commensurateurs
For each integer and each finite graph , we construct a Coxeter group and a non positively curved polygonal complex on which acts properly cocompactly, such that each polygon of has edges, and the link of each vertex of is isomorphic to . If is a “generalized -gon”, then is a Tits building modelled on a reflection group of the hyperbolic plane. We give a condition on for to be non enumerable (which is satisfied if is a thick classical generalized -gon). On the other hand,...
Root systems for two dimensional complex reflection groups.
Spiegelungsgeometrische Darstellung affiner Ebenen auf der Grundlage eines abgeschwächten Schrägspiegelungsbegriffs
Stratification of the discriminant in Reflection groups.
Symmetries of regular four-dimensional polytopes
Systoles of a family of triangle surfaces.
The lattices and Möbius functions of stable closed subrootsystems and Hyperplane complements for classical Weyl Groups.
The order of a finite Coxeter group.
The Two Most Algebraic K3 Surfaces.
Topologische Möbiusebenen in spiegelungsgeometrischer Darstellung