Nets of order \(p^2\) and degree \(p+1\) admitting SL(2,\(p\)) (Q1380848)

The authors classify the nets of order \(p^2\) and degree \(p+1\) (with \(p\) a prime number) that admit a collineation group \(G\) with a point-regular normal subgroup \(T\), such that \(G/T\simeq SL(2,p)\). The result is that these nets are regulus nets, twisted cubic nets and three exceptional nets \({\mathcal N}_p\) for \(p=2,3,5\). This classification theorem continues previous work of the authors about nets admitting \(GL(2,q)\) [\textit{Y. Hiramine}, Geom. Dedicata 48, No. 2, 139-189 (1993; Zbl 0788.51004) and \textit{N. L. Johnson}, J. Geom. 40, No. 1/2, 95-104 (1991; Zbl 0728.51008)].