The nonexistence of projective planes of order 12 with a collineation group of order 8

Autor:	Chihiro Suetake, Kenzi Akiyama
Rok vydání:	2008
Předmět:	Combinatorics Blocking set Collineation Duality (projective geometry) Discrete Mathematics and Combinatorics Projective space Projective plane Fano plane Projective linear group Pencil (mathematics) Mathematics
Zdroj:	Journal of Combinatorial Designs. 16:411-430
ISSN:	1520-6610 1063-8539
Popis:	In this article, we prove that there does not exist a symmetric transversal design which admits an automorphism group of order 4 acting semiregularly on the point set and the block set. We use an orbit theorem for symmetric transversal designs to prove our result. As a corollary of the result, we prove that there is no projective plane of order 12 admitting a collineation group of order 8. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 411–430, 2008
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::58b1c7feba31b23201a75eee9fe4634c https://doi.org/10.1002/jcd.20175 Zobrazit plný text záznamu Plný text