j,k-planes of order 43

Norman Johnson, Oscar Vega, Frederick Wilke
2005 Innovations in Incidence Geometry Algebraic Topological and Combinatorial  
A new class of translation planes of order 4 3 is constructed and studied. These planes are a generalization of the j-planes discovered by Johnson, Pomareda and Wilke ([16]). These j, k-planes may be André replaced and the j, k-planes and the planes obtained by André replacement may be derived. There are thirteen new planes constructed and classified. Using 'regular hyperbolic covers', there are some new constructions of flat flocks of Segre varieties by Veronesians. MSC 2000: 51E15, 05B25,
more » ... 0 * We thank the reviewers for their interesting comments and for pointing out improvements to our work.
doi:10.2140/iig.2005.2.1 fatcat:vhakoce3sred7ooqldb6s6vsea