Block transitive Steiner systems with more than one point orbit

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Evans, David (2004) Block transitive Steiner systems with more than one point orbit. Journal of Combinatorial Designs, 12 (6). pp. 459-465. ISSN 1520-6610

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Abstract

For all ‘reasonable’ finite t, k and s we construct a t-(ℵ0, k, 1) design and a group of automorphisms which is transitive on blocks and has s orbits on points. In particular, there is a 2-(ℵ0, 4, 1) design with a block-transitive group of automorphisms having two point orbits. This answers a question of P. J. Cameron and C. E. Praeger. The construction is presented in a purely combinatorial way, but is a by-product of a new way of looking at a model-theoretic construction of E. Hrushovski.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:52
Last Modified: 14 Aug 2023 10:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/20042
DOI: 10.1002/jcd.20018

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