Mostly Finite Geometries

Guest lectures: Remarks concerning linear systems with parallelism; on the classification of 4-dimensional flexible projective planes; replaceable nests; flocks of Laguerre planes and associated geometries; ovoids and translation planes from lattices. Contributed articles: the construction of generalized m-gons from blueprints; variations on a theme of Dembowski; on a theorem of Hering and two-transitive ovals with a fixed external line; inductively minimal flag-transitive geometries; transitive autotopism groups and the generalized twisted field planes; a family of non-Buekenhout unitals in the Hall planes; 4-caps in orthogonal spaces; a remark on a theorem of T.G. Ostrom; a note on the Aschbacher biplanes of order 11; Arc subgroups of Planar Singer groups; structure theory for point-Baer and line-Baer collineations in affine planes; flocks of quadratic and semi-elliptic cones; the generalized Kantor-Knuth flocks; spreads corresponding to flocks of quadratics; a new infinite family of extended generalized quadrangles; virtual derivation; some generalized quadrangles in characteristic 2; some p-ranks related to geometric structures; building a cyclic q-clan; hyper-reguli in projective space of dimension 5; parallelisms of PG(3,3) invariant under a collineation of order 5; classical spaces that interact with spreads; Coset representation of homogeneous geometrical structures; division algebras three-dimensional over algebraic number fields.