Bücher der Reihe Algebra And Discrete Mathematics

Presents the fundamental topics of discrete mathematics that are introduced from the perspectives of a pure mathematician and an applied computer scientist. This book helps readers learn how to formally define abstract concepts, reason about objects, investigate properties of algorithms, and prove their correctness.

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.

Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains results on Grassmannians of buildings of classical types.