Overview: First full discussion of flag-transitive Steiner designs.At the interface of several disciplines, such as finite or incidence geometry, finite group theory, combinatorics, coding theory, and cryptograThe 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
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