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Flag-Transitive Steiner Designs

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ISBN-10: 3034600011

ISBN-13: 9783034600019

Edition: 2009

Authors: Michael Huber

List price: $39.95
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Description:

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 theory, and cryptography. In a sufficiently self-contained and unified manner the classification of all flag-transitive Steiner designs is presented. This recent result settles interesting and challenging questions that have been object of research for more than 40 years. Its proof combines methods from finite group theory, incidence geometry, combinatorics, and number theory.The book contains a broad…    
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Book details

List price: $39.95
Copyright year: 2009
Publisher: Springer Basel AG
Publication date: 2/19/2009
Binding: Paperback
Pages: 125
Size: 6.50" wide x 9.25" long x 0.25" tall
Weight: 0.616

Preface
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
References
Index