Semi Minkowski i-structures

✍ Scribed by M.L.H Willems

• Book ID: 103060289
• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 418 KB
• Volume: 54
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(85)90066-4

✦ Synopsis

A Dembowski semi-plane is a semi-plane obtained from a projective plane by Dembowski's method . A semi Minkowski/-structure iF 1, is an incidence structure M=(P, B x UB2UC, /) for which: (i) each element of P is incident with one element of B1 and one element of B2, (ii) an element of B x LIB 2 and an element of C are incident with at most one common element of P, (iii) each/-residual space of M (with respect to B 1 t.J B2) is a Dembowski semi-plane, (iv) C ~ ¢ and each element of C is incident with at least i elements of P. In we determined all semi /-spaces and semi Laguerre i-structures, which are the corresponding M/Sbins and Laguerre extensions of Dembowski semi-planes.