论文信息 - An essay on skew translation generalized quadrangles

An essay on skew translation generalized quadrangles

AstractWe study a class of generalized quadrangles satisfying a local Moufang condition that is more restrictive than the usual concept of skew translation GQ. A new infinite family is constructed whose point-line duals are translation generalized quadrangles with very small kernel. They have parameters (q2, q), q=3r, for r>2.

Stanley E. Payne | S. Payne

[1] The Thas-Fisher Generalized Quadrangles , 1988 .

[2] Stanley E. Payne. Spreads, flocks, and generalized quadrangles , 1988 .

[3] W. Kantor. Some generalized quadrangles with parametersq2,q , 1986 .

[4] Joseph A. Thas,et al. Generalized Quadrangles and Flocks of Cones , 1987, Eur. J. Comb..

[5] H. Gevaert,et al. Flocks of quadratic cones, generalized quadrangles and translation planes , 1988 .

[6] William M. Kantor,et al. Generalized Quadrangles Associated with G2(q) , 1980, J. Comb. Theory A.

[7] A. Adrian Albert,et al. An Introduction to Finite Projective Planes , 1970 .

[8] Michael J. Ganley,et al. Central Weak Nucleus Semifields , 1981, Eur. J. Comb..

[9] J. Thas,et al. Flocks inPG(3,q) , 1979 .