Extending symmetric designs
TLDR
There are at most three sets of extendable symmetric design parameters with any given value of λ, and the only twice-extendable asymmetric design is the 21-point projective plane.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-03-01 and is currently open access. It has received 48 citations till now. The article focuses on the topics: Projective plane.read more
Citations
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Book ChapterDOI
Cellular Rings and Groups of Automorphisms of Graphs
TL;DR: In this article, the authors present a survey of some results of Soviet mathematicians related to applications of association schemes in the first part of the book [Ba 5] and the second and third parts of it in the Russian edition [K1 9].
Book ChapterDOI
Regular sets and quasi-symmetric 2-designs
TL;DR: The paper presents a classification of quasi-symmetric 2-designs, and sufficient parameter information is presented to generate a list of all feasible "exceptional" parameter sets for such designs with at most 40 points.
Journal ArticleDOI
Permutation Groups with Multiply Transitive Suborbits
TL;DR: In this paper, it was shown that the Mathieu group M22 has a primitive rank 3 representation of degree 77 on the blocks of the associated Steiner system, and that the constituent of M22 is triply transitive and k = 6.
Book ChapterDOI
2-Transitive Designs
TL;DR: A great deal of work was done on 2-transitive groups during the last century and the beginning of this one as discussed by the authors, and there has been a recent resurgence of interest in them for several reasons.
References
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Journal ArticleDOI
A Simple Group of Order 44,352,000.
D. G. Higman,Charles C. Sims +1 more
TL;DR: The group G of the title is obtained as a primitive permutation group of degree 100 in which the stabilizer of a point has orbits of lengths 1, 22 and 77 and is isomorphic to the Mathieu group M22.
Journal ArticleDOI
Designs derived from permutation groups
TL;DR: In this paper, it was shown that the simple group PSL3(4) of order 20,160 on 56 letters leads to a new symmetric block design with parameters v=56, k-11, λ=2.