Some infinite families of 2‐designs from  PG  ( n ,  q ) | Zendy

Zhan Xiaoqin | Zendy; Ding Suyun | Zendy

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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.

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