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A classification of all symmetric block designs of order nine with an automorphism of order six

✍ Scribed by Dean Crnković; Sanja Rukavina; Marcel Schmidt

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 123 KB
Volume: 14
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20090

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✦ Synopsis

Abstract

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 paper 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. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 301–312, 2006

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