engleski

On (100, 45, 20) Symmetric Designs with Automorphism Groups of order 100

Nonbelian groups of order 100, which are extensions of elementary abelian group E25, are considered as possible automorphism groups of symmetric designs with parameters (100, 45, 20). By the action of these groups new (100, 45, 20) symmetric designs are constructed. Their full automorphism groups and some other properties are given. In the cases where the determined full automorphism group is of order greater than 100, a possible construction of difference sets with the same parameters is more likely to be accomplished.

ymmetric design; automorphism group; differential set.

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