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RESEARCH PRODUCT

A Classification of all Symmetric Block Designs of Order Nine with an Automorphism of Order Six

Marcel SchmidtSanja RukavinaDean Crnković

subject

Discrete mathematicsCombinatoricsAutomorphism groupBlock (permutation group theory)Structure (category theory)Discrete Mathematics and CombinatoricsOuter automorphism groupOrder (group theory)symmetric design; automorphism groupSymmetric designAutomorphismMathematics

description

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

yearjournalcountryeditionlanguage
2006-01-01
https://www.bib.irb.hr/252118