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Some infinite families of 2‐designs from PG ( n , q )
Author(s) -
Zhan Xiaoqin,
Ding Suyun
Publication year - 2019
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21635
Subject(s) - mathematics , projective test , automorphism group , flag (linear algebra) , combinatorics , transitive relation , projective linear group , automorphism , group (periodic table) , covering groups of the alternating and symmetric groups , discrete mathematics , projective space , collineation , pure mathematics , algebra over a field , cyclic group , non abelian group , chemistry , abelian group , organic chemistry
In this paper, we establish the existence of some infinite families of 2‐designs from n ‐dimensional projective geometry P G ( n , q ) , which admit ( n + 1 ) ‐dimensional projective special linear group as their flag‐transitive automorphism group.