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no. 4
Analysing flag-transitive point-imprimitive 2-designs
Devillers, Alice1; Praeger, Cheryl E.1
1 Centre for the Mathematics of Symmetry and Computation University of Western Australia Perth, WA 6009, Australia.
Algebraic Combinatorics, Volume 6 (2023) no. 4, pp. 1041-1055.

In this paper we develop several general methods for analysing flag-transitive point-imprimitive 2-designs, which give restrictions on both the automorphisms and parameters of such designs. These constitute a tool-kit for analysing these designs and their groups. We apply these methods to complete the classification of flag-transitive, point-imprimitive 2-(v,k,λ) designs with λ at most 4.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.297
Classification: 05B05, 20B25
Keywords: block design, 2-design, flag-transitive group, imprimitive group

Devillers, Alice 1; Praeger, Cheryl E. 1

1 Centre for the Mathematics of Symmetry and Computation University of Western Australia Perth, WA 6009, Australia.
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Devillers, Alice; Praeger, Cheryl E. Analysing flag-transitive point-imprimitive $2$-designs. Algebraic Combinatorics, Volume 6 (2023) no. 4, pp. 1041-1055. doi : 10.5802/alco.297. https://alco.centre-mersenne.org/articles/10.5802/alco.297/

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