On the Possible Automorphism Groups of a Steiner Quintuple System of Order 21 |
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| Authors: | Emre Kolotoğlu Spyros S. Magliveras |
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| Affiliation: | CCIS, Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL |
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| Abstract: | A Steiner system  is called a Steiner quintuple systems of order v. The smallest order for which the existence, or otherwise, of a Steiner quintuple system is unknown is 21. In this article, we prove that, if an S(4, 5, 21) exists, the order of its full automorphism group is 1, 2, 3, 4, 5, 6, 7, or 10. |
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| Keywords: | Steiner system Steiner quintuple system automorphism group 51E10 05E18 |
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