A New Hemisystem of \(\mathcal{H}(3, 49)\)

Antonio Cossidente1, Tim Penttila2
1Dipartimento di Matematica Informatica ed Economia Universita della Basilicata I-85100 Potenza — Italy
2Department of Mathematics Colorado State University Fort Collins CO 80523-1874 USA

Abstract

A new hemisystem of the generalized quadrangle \(\mathcal{H}(3, 49)\) admit-
ting the linear group \(PSL_2(7)\) has been found.