@article{768a28b8902645c6ab57d89822284166,
title = "Finite groups admitting grassmannian 4-designs",
abstract = "Let V be a finite dimensional Euclidean space. We classify finite subgroups of GO (V) that admit grassmannian 4-designs. We also classify Zariski closed subgroups G of GO (V) over which Sym2 (V) / 1G is irreducible.",
author = "Tiep, {Pham Huu}",
note = "Funding Information: ✩ Parts of this paper were written while the author was visiting the Kyushu University (Fukuoka, Japan), and the Institute for Mathematics and Applications (IMA), University of Minnesota. The author is grateful to Professor E. Bannai and Kyushu University, and the IMA for their generous hospitality and support. The author gratefully acknowledges the support of the NSA (grant H98230-04-0066). He is also grateful to C. Bachoc and R.M. Guralnick for various discussions, and to the referee for helpful comments on the paper. E-mail address:
[email protected].",
year = "2006",
month = dec,
day = "1",
doi = "10.1016/j.jalgebra.2006.01.056",
language = "English (US)",
volume = "306",
pages = "227--243",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",
}