Combinatorial and Geometric Structures and their Applications : the symposium was held at Villa Madruzzo (Cognola di Trento) on Oct. 20-25, 1980

A Symposium on ''Combinatorial Structures and their Applications'' was held at Villa Madruzeo (Cognola di Trento), on October 20 - 25, 1980. The meeting was promoted and sponsored by the ''Centro Interuniveritario per la Ricerca Matematica'' (C.I.R.M.) of the ''Universita'' di Trento'' for the purpose of offering an intense week of joint scientific activity to some outstanding scientists and a group of younger researchers. The enthusiastic co-operation of all participants made the Conference a great success. Content: Edited by Page iii Copyright page Page iv Preface Pages v-vi Adriano Barlotti On Finite Nonlinear Structures Original Research Article Pages 1-8 Walter Benz The Geometry on Grassmann Manifolds Representing Subspaces in A Galois Space Original Research Article Pages 9-38 Giuseppe Tallini On k-Sets of Kind (m, n) of A Finite Projective or Affine Space Original Research Article Pages 39-56 M. Tallini Scafati Combinatorics of Finite Generalized Quadrangles : A Survey Original Research Article Pages 57-76 Joseph A. Thas On the n(2n+1)-Set of Class [o,1,n,2n] Original Research Article Pages 77-82 L. Maria Abatangelo, Grazia Raguso Finite Semi-Symmetric Designs Original Research Article Pages 83-116 Albrecht Beutelspacher Note on (q+2)-Sets in A Galois Plane of Order q Original Research Article Pages 117-121 Alessandro Bichara, Gábor Korchmáros On the Independence of the Axioms Defining the Affine and Projective Grassmann Spaces Original Research Article Pages 123-127 A. Bichara, F. Mazzocca On A Characterization of the Grasshann Manifold Representing the Planes in A Projective Space Original Research Article Pages 129-149 Alessandro Bichara, Giuseppe Tallini On Inherited Groups of Derivable Translation Planes Original Research Article Pages 151-157 Mauro Biliotti On (q+2)-Sets in A Non-Desarguesian Projective Plane of Order q Original Research Article Pages 159-167 P. Biscarini, F. Conti Subgraph Enumerating Polynomial and Ising Model Original Research Article Pages 169-173 Luigi Borzacchini Caps Related to Incidence Structures and to Linear Codes Original Research Article Pages 175-182 P.V. Ceccherini, G. Tallini On Sets of Type (m, n) in Bibd's with λ ≥ 2 Original Research Article Pages 183-206 Marialuisa J. de Resmini Desargues Configurations Inscribed in an Oval Original Research Article Pages 207-209 Giorgio Faina, Gábor Korchmáros On Type ((q-3)/2,(q-1)/2,q-1) k-Sets in an Affine Plane A 2, q Original Research Article Pages 211-218 Osvaldo Ferri Minors in Boolean Structures and Matroids Original Research Article Pages 219-224 L. Guidotti, G. Nicoletti The Translation Planes of Order 16 That Admit SL(2, 4) Original Research Article Pages 225-236 N.L. Johnson Commutative Division Algebras Original Research Article Pages 237-247 Giampaolo Menichetti Translation Planes of Order 11 2 Original Research Article Pages 249-264 Giuseppe Pellegrino, Gabor Korchmaros Generalized Quadrangles with Parallelism Original Research Article Pages 265-282 Clelia Somma On Line k-Sets of Type (0,n) with Respect to Pencils of Lines in PG(d,q) Original Research Article Pages 283-292 Giuseppe Tallini Combinatorics is an old branch of mathematics. The advent of the electronic age and the development of computer technology has given great impetus to the study of combinatorial techniques, both by providing combinatorists with a powerful new tool and by creating a new field of application for those techniques. As happens in the development of science, the ability to answer practical questions is greatly enhanced by the scientist making progress in the study of pure theory. This gives a clear justification for the tremendous activity and progress in this field. A large part of the material in this volume was presented at the symposium on "Combinatorial Structures and their Applications" which was held at Villa Madruzzo (Cognola di Trento), on October 20-25, 1980