engleski

Projective planes and other combinatorial structures constructed from groups U(3, 3), U(3, 4) and U(3, 5)

We show a construction of unitals $2-(q^3+1, q+1, 1)$ and projective planes $PG(2, q^2)$ from unitary groups $U(3, q), \ q=3, 4, 5.$ Furthermore, we show a construction of other combinatorial structures from those groups.

block design; projective plane; unital; unitary groups; strongly regular graph

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