Combinatorial and geometric structures and their applications

A. Barlotti0444863842, 9780444863843, 9780080871745

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.

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Table of contents :
Contents……Page 8
Preface……Page 6
On Finite Nonlinear Structures……Page 10
The Geometry on Grassmann Manifolds Representing Subspaces in a Galois Space……Page 18
On k-sets of kind (m, n) of a Finite Projective or Affine Space……Page 48
Combinatorics of Finite Generalized Quadrangles: A Survey……Page 66
On the n(2n + 1)-set of Class [0, 1, n, 2n]……Page 86
Finite Semi-symmetric Designs……Page 92
Note on (q + 2)-sets in a Galois Plane of Order q……Page 126
On the Independence of the Axioms Defining the Affine and Projective Grassmann Spaces……Page 131
On a Characterization of the Grassmann Manifold Representing the Planes in a Projective Space……Page 136
On Inherited Groups of Derivable Translation Planes……Page 157
On (q + 2)-sets in a Non-Desarguesian Projective Plane of Order q……Page 164
Subgraph Enumerating Polynomial and Ising Model……Page 173
Caps Related to Incidence Structures and to Linear Codes……Page 178
On Sets of Type (m, n) in BIBD’s with lambda geq 2……Page 186
Desargues Configurations Inscribed in an Oval……Page 210
On Type ((q – 3)/2, (q – l)/2, q – 1) k-sets in an Affine Plane A_{2, q}……Page 213
Minors in Boolean Structures and Matroids……Page 221
The Translation Planes of Order 16 that Admit SL(2, 4)……Page 227
Commutative Division Algebras……Page 239
Translation Planes of Order 11^2……Page 250
Generalized Quadrangles with Parallelism……Page 266
On Line k-sets of Type (0, n) with Respect to Pencils of Lines in PG(d, q)……Page 284