ABSTRACT
The following list provides the known classes of generalized Andre´ planes and the derived generalized Andre´ planes. Many of the planes may be constructed using Ostrom’s replacement theorems.
Andre´
Multiple Andre´ (Ostrom)
Dickson Nearfield
Johnson (variation on ‘all except’ method-new replacements of Andre´ nets)
Hiramine-Johnson order qk admit affine homology group order (qk − 1)/2
Draayer order qk admit affine homology group order (qk − 1)/3
Draayer order qk admit affine homology groups order (qk − 1)/d,
where d divides k
Wilke-Zemmer order 3n, n odd (multiple Andre´)
Narayana Rao and Zemmer
Wilke (‘all except’ method)
Ostrom 1st and 2nd constructions, coupled with Foulser net replacement
Foulser Qg planes
Derived Andre´ and derived generalized Andre´ of Ostrom and Jha-Johnson
Triangle Transitive generalized Andre´ of Draayer-Johnson-Pomareda
22.1. Wilke-Zemmer, Order 3n.
