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Some rigid Steiner 5-designs

Grannell, M. J. (2010). Some rigid Steiner 5-designs. Journal of Combinatorial Designs, 18(5) pp. 392–400.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1002/jcd.20252
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Abstract

Hitherto, all known non-trivial Steiner systems S$(5,k,v)$ have, as a group of automorphisms, either PSL$(2,v-1)$ or PGL$(2,\frac{v-2}{2})\times C_2$. In this paper, systems S$(5,6,72)$, S$(5,6,84)$ and S$(5,6,108)$ are constructed that have only the trivial automorphism group.

Item Type: Journal Article
Copyright Holders: 2010 Wiley Periodicals, Inc
ISSN: 1063-8539
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 22911
Depositing User: Mike Grannell
Date Deposited: 02 Sep 2010 13:47
Last Modified: 30 Nov 2012 10:37
URI: http://oro.open.ac.uk/id/eprint/22911
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