Glasnik Matematicki, Vol. 35, No.2 (2000), 211-214.

SOME SYMMETRIC (71,15,3) DESIGNS WITH AN INVOLUTORY ELATION

Mirjana Garapić

Zavod za matematiku, informatiku i nacrtnu geometriju, Rudarsko-geolosko-naftni fakultet, Pierottijeva 8, 10000 Zagreb, Croatia


Abstract.   Symmetric designs for (71,15,3) with the semi-standard automorphism group G = E8 · F21 have been investigated. There were constructed exactly three nonisomorphic designs, two of them with an involutory elation.

1991 Mathematics Subject Classification.   05B05.

Key words and phrases.   Symmetric design, triplane, automorphism group, fixed point (block).


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