Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5
Document Type
Article
Publication Date
1995
Department
Department of Mathematical Sciences
Abstract
We determine the distribution of 3−(q + 1,k,λ) designs, with k ϵ {4,5}, among the orbits of k‐element subsets under the action of PSL(2,q), for q ϵ 3 (mod 4), on the projective line. As a consequence, we give necessary and sufficient conditions for the existence of a uniformly‐PSL(2,q) large set of 3−(q + 1,k,λ) designs, with k ϵ {4,5} and q ≡ 3 (mod 4).
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Cusack, C.,
Graham, S.,
&
Kreher, D. L.
(1995).
Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5.
Journal of Combinatorial Designs,
3(2), 147-160.
http://doi.org/10.1002/jcd.3180030207
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3718
Publisher's Statement
© 1995 John Wiley & Sons, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.3180030207