A New Infinite Family of Hemisystems of the Hermitian Surface

Published 3 Dec 2015 in math.CO, math.GR, and math.RT | (1512.00962v2)

Abstract: In this paper, we construct an infinite family of hemisystems of the Hermitian surface $\mathsf{H}(3,q^2)$. In particular, we show that for every odd prime power $q$ congruent to $3$ modulo $4$, there exists a hemisystem of $\mathsf{H}(3,q^2)$ admitting $C_{(q^3+1)/4} : C_3$.

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