Flag-transitive Steiner Designs

• Main Author: Huber, Michael. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Combinatorics.; Discrete groups.; Convex and Discrete Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0002-6

The monograph provides the first full discussion of flag-transitive Steiner designs. This is a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines, like finite or incidence geometry, group theory, combinatorics, coding theor...

Table of Contents:

• Preface
• 1. Incidence Structures and Steiner Designs
• 2. Permutation Groups and Group Actions
• 3. Number Theoretical Tools
• 4. Highly Symmetric Steiner Designs
• 5. A Census of Highly Symmetric Steiner Designs
• 6. The Classification of Flag-transitive Steiner Quadruple Systems
• 7. The Classification of Flag-transitive Steiner 3-Designs
• 8. The Classification of Flag-transitive Steiner 4-Designs
• 9. The Classification of Flag-transitive Steiner 5-Designs
• 10. The Non-Existence of Flag-transitive Steiner 6-Designs
• References
• Index.