论文信息 - Quadrangles of order (s − 1, s + 1)

Quadrangles of order (s − 1, s + 1)

Abstract A generalized quadrangle P ∗ of order (s − 1, s + 1) may be constructed from a quadrangle P of order s by expanding about a regular point or line. Likewise, P is obtained from P ∗ by constricting about a suitable family of lines or points. These expansion and constriction processes are studied, with certain examples worked out in detail. In the process a new class of quadrangles of order (s − 1, s + 1) is discussed.

Stanley E. Payne | S. Payne

[1] Generalized quadrangles as amalgamations of projective planes , 1972 .

[2] George Szekeres,et al. On a combinatorial generalization of 27 lines associated with a cubic surface , 1969, Journal of the Australian Mathematical Society.

[3] Stanley E. Payne. The equivalence of certain generalized quadrangles , 1971 .

[4] Walter Feit,et al. The nonexistence of certain generalized polygons , 1964 .

[5] Stanley E. Payne,et al. Affine representations of generalized quadrangles , 1970 .

[6] Stanley E. Payne,et al. Nonisomorphic generalized quadrangles , 1971 .

[7] Collineations of affinely represented generalized quadrangles , 1970 .