A Classification of all Symmetric Block Designs of Order Nine with an Automorphism of Order Six (CROSBI ID 124276)
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Crnković, Dean ; Rukavina, Sanja ; Schmidt, Marcel
engleski
A Classification of all Symmetric Block Designs of Order Nine with an Automorphism of Order Six
We complete the classification of all symmetric designs of order nine admitting an automorphism of order six. As a matter of fact, the classification for the parameters (35, 17, 8), (56, 11, 2), and (91, 10, 1) had already been done, and in this article we present the results for the parameters (36, 15, 6), (40, 13, 4), and (45, 12, 3). We also provide information about the order and the structure of the full automorphism groups of the constructed designs.
symmetric design; automorphism group
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