On highly symmetric combinatorial designs (Q2838236)
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scientific article; zbMATH DE number 6185338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On highly symmetric combinatorial designs |
scientific article; zbMATH DE number 6185338 |
Statements
9 July 2013
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Steiner system
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flag-transitivity
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block-transitivity
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permutation group
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automorphism group
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On highly symmetric combinatorial designs (English)
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This monograph describes the complete classification of flag-transitive Steiner systems, \(t\)-\((v,k,1)\) designs, with \(t \geq 3\). There are no such designs with \(t \geq 6\), two when \(t=5\), and two when \(t=4\). There are infinite classes of such designs when \(t=3\). In order to support proofs of each of these results, a brief survey presents background on point- and block-transitivity.
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