engleski

A Series of Finite Groups and Related Symmetric Designs

For any odd prime power q=p^e we study a certain solvable group G of order 2q^2(q-1/2)^2 and construct from its internal structure a symmetric design D with parameters (2q^2+1, q^2, q^2-1/2) on which G acts as an automorphism group. As a consequence we find that the full automorphism group of D contains a subgroup of order |G|e^2.

symmetric design; automorphism group

nije evidentirano