The non-solvable doubly transitive dimensional dual hyperovals

Autor:	Ulrich Dempwolff
Rok vydání:	2017
Předmět:	Combinatorics Transitive relation 010201 computation theory & mathematics 010102 general mathematics 0102 computer and information sciences Geometry and Topology 0101 mathematics DUAL (cognitive architecture) 01 natural sciences Mathematics
Zdroj:	Advances in Geometry. 18:1-4
ISSN:	1615-7168 1615-715X
DOI:	10.1515/advgeom-2017-0006
Popis:	In [9] S. Yoshiara determines possible automorphism group of doubly transitive dimensional dual hyperovals. He shows that a doubly transitive dual hyperovalDis either isomorphic to the Mathieu dual hyperoval or the dual hyperoval is defined over 𝔽2, and if the hyperoval has rankn, the automorphism group has the formE⋅S, with an elementary abelian groupEof order 2nandSa subgroup of GL(n,2) acting transitively on the nontrivial elements ofE. Moreover Yoshiara describes the possible candidates forS. In this paper we assume thatSis non-solvable and show that then the dimensional dual hyperoval is a bilinear quotient of a Hyubrechts dual hyperoval.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::efbb04b95d18674572da61d10f9db751 https://doi.org/10.1515/advgeom-2017-0006 Zobrazit plný text záznamu