Flag-transitive Steiner Designs

• Main Author: Huber, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Combinatorics.; Convex and Discrete Geometry.

The characterization of combinatorial or geometric structures in terms of their groups of automorphisms has attracted considerable interest in the last decades and is now commonly viewed as a natural generalization of Felix Klein’s Erlangen program(1872).Inaddition,especiallyfor?nitestructures,impor...

Table of Contents:

• Incidence Structures and Steiner Designs
• Permutation Groups and Group Actions
• Number Theoretical Tools
• Highly Symmetric Steiner Designs
• A Census of Highly Symmetric Steiner Designs
• The Classification of Flag-transitive Steiner Quadruple Systems
• The Classification of Flag-transitive Steiner 3-Designs
• The Classification of Flag-transitive Steiner 4-Designs
• The Classification of Flag-transitive Steiner 5-Designs
• The Non-Existence of Flag-transitive Steiner 6-Designs.