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Modèle mathématique --- Mathematical models --- design --- Méthode d'optimisation --- Optimization methods --- Évaluation --- evaluation --- 519.242 --- 66.011 --- Experimental design. Optimal designs. Block designs --- Process design (principles and practice, flow charts, new features in processing and plant etc.) --- Theses --- 66.011 Process design (principles and practice, flow charts, new features in processing and plant etc.) --- 519.242 Experimental design. Optimal designs. Block designs --- evaluation.

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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).In addition, especially for?nite structures, important applications to practical topics such as design theory, coding theory and cryptography have made the field even more attractive. The subject matter of this research monograph is the study and classification 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 classification of the ?nite simple groups, it has been possible in recent years to characterize Steiner t-designs, mainly for t=2,adm- ting groups of automorphisms with su?ciently strong symmetry properties. For Steiner 2-designs, arguably the most general results have been the classification of all point 2-transitive Steiner 2-designs in 1985 by W. M. Kantor, and the almost complete determination of all ?ag-transitive Steiner 2-designs announced in 1990 by F.Buekenhout, A.Delandtsheer, J.Doyen,P.B.Kleidman,M.W.Liebeck, and J. Saxl. However, despite the classi?cation of the ?nite simple groups, for Steiner t-designs with t> 2 most of the characterizations of these types have remained long-standing challenging problems. Speci?cally, the determination of all ?- transitive Steiner t-designs with 3? t? 6 has been of particular interest and object of research for more than 40 years.

Block designs. --- Electronic books. -- local. --- Steiner systems. --- Steiner systems --- Geometry --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Designs, Block --- Networks, Steiner --- Steiner networks --- Steiner triple systems --- Systems, Steiner --- Triple systems, Steiner --- Mathematics. --- Convex geometry. --- Discrete geometry. --- Combinatorics. --- Convex and Discrete Geometry. --- Combinatorial analysis --- Combinatorial designs and configurations --- Experimental design --- Block designs --- Discrete groups. --- Groups, Discrete --- Infinite groups --- Combinatorics --- Mathematical analysis --- Discrete mathematics --- Convex geometry . --- Combinatorial geometry