3-designs of PSL(2,2 < sup> n ) with block sizes 4 and 5
Document Type
Article
Publication Date
1-22-2004
Department
Department of Mathematical Sciences
Abstract
We determine the distribution of 3-designs among the orbits of 4- and 5-element subsets under the action of PSL(2, 2n) on the projective line. Thus we give complete information on all Kramer-Mesner matrices for the action of PSL(2, 2n) on 3-sets versus 4- and 5-sets. As a consequence, all 3-designs with block sizes 4 and 5 and automorphism group PSL(2; 2n) can immediately be obtained.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Keranen, M. S.,
&
Kreher, D. L.
(2004).
3-designs of PSL(2,2 < sup> n ) with block sizes 4 and 5.
Journal of Combinatorial Designs,
12(2), 103-111.
http://doi.org/10.1002/jcd.10068
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3707
Publisher's Statement
© 2003 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.10068