Simple 3-designs and PSL(2, q) with q ≡ 1 (mod 4)

Autor:	D. K. Ray-Chaudhuri, Niranjan Balachandran
Rok vydání:	2007
Předmět:	Combinatorics Discrete mathematics Group of Lie type Inner automorphism Collineation Simple (abstract algebra) Applied Mathematics Projective line Projective linear group Algebraic number PSL Computer Science Applications Mathematics
Zdroj:	Designs, Codes and Cryptography. 44:263-274
ISSN:	1573-7586 0925-1022
DOI:	10.1007/s10623-007-9096-z
Popis:	In this paper, we consider the action of (2, q) on the finite projective line $${\mathbb{F}}_q\cup\{\infty\}$$ for q ? 1 (mod 4) and construct several infinite families of simple 3-designs which admit PSL(2, q) as an automorphism group. Some of the designs are also minimal. We also indicate a general outline to obtain some other algebraic constructions of simple 3-designs.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::52186f5ab17058754a4a2ddc5230f019 https://doi.org/10.1007/s10623-007-9096-z Zobrazit plný text záznamu Full text from SpringerLink