engleski

Primitive Symmetric Designs with up to 2500 Points

By this article we conclude the construction of all primitive (v, k, lambda) 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 not equal p(m), 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.

symmetric design ; primitive automorphism group

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