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Primitive symmetric designs with up to 2500 points
Author(s) -
Braić Snježana,
Golemac Anka,
Mandić Joško,
Vučičić Tanja
Publication year - 2011
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.20291
Subject(s) - mathematics , combinatorics , prime (order theory) , integer (computer science) , prime power , automorphism , range (aeronautics) , automorphism group , integer programming , discrete mathematics , arithmetic , computer science , algorithm , programming language , materials science , composite material
By this article we conclude the construction of all primitive ( v, k ,λ ) symmetric designs with v < 2500 , up to a few unsolved cases. Complementary to the designs with prime power number of points published previously, here we give 55 primitive symmetric designs with v ≠ pm , p prime and m positive integer, together with the analysis of their full automorphism groups. The research involves programming and wide‐range computations. We make use of the software package GAP and the library of primitive groups which it contains. © 2011 Wiley Periodicals, Inc. J Combin Designs 19:463‐474, 2011