TY - JOUR
T1 - On monomial flocks
AU - Bader, L.
AU - Ghinelli, D.
AU - Penttila, Tim
PY - 2001
Y1 - 2001
N2 - We study monomial flocks of quadratic cones of PG(3, q), with emphasis on the case where the flock is semifield, providing some nonexistence and some uniqueness results. In addition, we give a computer-free proof of the existence of the sporadic semifield flock of the quadratic cone of PG(3, 3(5)) (and hence of the sporadic translation ovoid of Q(4, 3(5))), and relate that flock to the sporadic simple group M-11. (C) 2001 Academic Press.
AB - We study monomial flocks of quadratic cones of PG(3, q), with emphasis on the case where the flock is semifield, providing some nonexistence and some uniqueness results. In addition, we give a computer-free proof of the existence of the sporadic semifield flock of the quadratic cone of PG(3, 3(5)) (and hence of the sporadic translation ovoid of Q(4, 3(5))), and relate that flock to the sporadic simple group M-11. (C) 2001 Academic Press.
UR - https://www.scopus.com/pages/publications/0035589658
U2 - 10.1006/eujc.2001.0503
DO - 10.1006/eujc.2001.0503
M3 - Article
SN - 0195-6698
VL - 22
SP - 447
EP - 454
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
ER -