Unsolvable block transitive automorphism groups of 2-(v,5,1) designs

Autor:	Huiling Li, Guangguo Han
Rok vydání:	2007
Předmět:	Discrete mathematics Transitive relation Block (permutation group theory) Transitive closure Outer automorphism group Automorphism Theoretical Computer Science Combinatorics Computational Theory and Mathematics Inner automorphism Solvable group Discrete Mathematics and Combinatorics Mathematics Flag (geometry)
Zdroj:	Journal of Combinatorial Theory, Series A. 114:77-96
ISSN:	0097-3165
Popis:	This article is a contribution to the study of the automorphism groups of 2-(v,k,1) block designs. In particular we look at the unsolvable block transitive automorphism groups of 2-(v,5,1) designs and prove the following theorem. Main TheoremIf a block transitive group of automorphisms of a2-(v,5,1)design is unsolvable, then it is flag transitive.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1d0c695accea1a31e6269b60be2b115b https://doi.org/10.1016/j.jcta.2006.01.009 Zobrazit plný text záznamu Full Text from ScienceDirect