Extended partial geometries: Nets and dual nets (Q919268)

An extended partial geometry, EpG, is an incidence structure all of whose residues (derived structures) are partial geometries. The authors prove some general results on EpGs providing arithmetic conditions on the parameters and characterizing those EpGs whose point graph is strongly regular. In particular, many interesting results are proved on extended nets, which include some characterizations and constructions, and on extended dual nets.