@article{Evans:2004:10.1002/jcd.20018,
author = {Evans, DM},
doi = {10.1002/jcd.20018},
journal = {Journal of Combinatorial Designs},
pages = {459--465},
title = {Block transitive Steiner systems with more than one point orbit},
url = {http://dx.doi.org/10.1002/jcd.20018},
volume = {12},
year = {2004}
}

Download

TY  - JOUR
AB  - For all 'reasonable' finite t; k, and s, we construct a t-(0,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-(0, 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. © 2004 Wiley Periodicals, Inc.
AU  - Evans,DM
DO  - 10.1002/jcd.20018
EP  - 465
PY  - 2004///
SN  - 1063-8539
SP  - 459
TI  - Block transitive Steiner systems with more than one point orbit
T2  - Journal of Combinatorial Designs
UR  - http://dx.doi.org/10.1002/jcd.20018
VL  - 12
ER  - 

Download