TY - JOUR
T1 - The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair
AU - Praeger, Cheryl
PY - 2007
Y1 - 2007
N2 - We construct two flag-transitive designs with the parameters of the title, and prove that these are the only two examples. One is point-primitive and related to unitary geometry, while the other is point-imprimitive and constructed from a 1-dimensional affine space. This classification may be contrasted with a construction by Mathon and Spence in 1996 of more than 3,700 designs with these parameters, almost a third of which had a trivial automorphism group.
AB - We construct two flag-transitive designs with the parameters of the title, and prove that these are the only two examples. One is point-primitive and related to unitary geometry, while the other is point-imprimitive and constructed from a 1-dimensional affine space. This classification may be contrasted with a construction by Mathon and Spence in 1996 of more than 3,700 designs with these parameters, almost a third of which had a trivial automorphism group.
U2 - 10.1007/s10623-007-9071-8
DO - 10.1007/s10623-007-9071-8
M3 - Article
VL - 44
SP - 115
EP - 132
JO - Designs Codes and Cryptography
JF - Designs Codes and Cryptography
SN - 0925-1022
IS - 1-3
ER -