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Flag-transitive Steiner Designs
Michael Huber
€ 48.86
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Description for Flag-transitive Steiner Designs
Paperback. This monograph provides a full discussion of flag-transitive Steiner designs, a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines. Series: Frontiers in Mathematics. Num Pages: 134 pages, biography. BIC Classification: PBMW; PBW. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 8. Weight in Grams: 278.
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,importantapplications to practical topics such as design theory, coding theory and cryptography have made the ?eld even more attractive. The subject matter of this research monograph is the study and class- cation of ?ag-transitive Steiner designs, that is, combinatorial t-(v,k,1) designs which admit a group of automorphisms acting transitively on incident point-block pairs. As a consequence of the classi?cation of the ?nite simple groups, it ... Read more
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,importantapplications to practical topics such as design theory, coding theory and cryptography have made the ?eld even more attractive. The subject matter of this research monograph is the study and class- cation of ?ag-transitive Steiner designs, that is, combinatorial t-(v,k,1) designs which admit a group of automorphisms acting transitively on incident point-block pairs. As a consequence of the classi?cation of the ?nite simple groups, it ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
134
Condition
New
Series
Frontiers in Mathematics
Number of Pages
125
Place of Publication
Basel, Switzerland
ISBN
9783034600019
SKU
V9783034600019
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Flag-transitive Steiner Designs
This monograph provides an excellent development of the existence and nonexistence of flag-transitive and other symmetric Steiner t-designs. In particular, it develops a complete classification of all flag-transitive Steiner t-designs for strength t at least three. The topic is a beautiful mixture of algebra and combinatorics, and it impinges on many applications areas. Of particular value is the material providing ... Read more