International conference on geometry (Q920390)

From September 30 till October 6, 1990 an international conference on geometry was held at Schloß Rauischholzhausen (Justus-Liebig- Universität Gießen). The scientific organizers were Adriano Barlotti (Firenze), Walter Benz (Hamburg) and Albrecht Beutelspacher (Gießen). There was a very fruitful interplay between various disciplines of geometry, such as foundations of geometry, topological geometries, finite geometries, applications and didactical aspects. This paper contains a collection of abstracts of the talks: \textit{R. Artzy}, Collineation groups of Benz planes over finite prime fields. \textit{W. Benz}, A geometric version of the Baxter equation. \textit{D. Betten}, Orbits in 4-dimensional compact projective planes. \textit{A. Blunck}, Conjugacy in local alternative rings. \textit{A. Bonisoli}, Finite Minkowski planes: Some problems. \textit{B. Castrucci}, An axiomatic system for Möbius-spaces. \textit{J. Cofman}, The third dimension - Problem seminars for undergraduates and sixth-formers. \textit{P. De Vito} (Joint work with \textit{P. M. Lo Re}), on some classes of finite linear spaces embedded in a Pappian plane. \textit{R. Frank}, On singular projective transformations. \textit{M. Greferath}, Two structure theorems of projective lattice geometries. \textit{H. Gropp}, On orbital matrices. \textit{Th. Grundhöfer}, Topological projective planes. \textit{D. Hachenberger}, Results and problems concerning translation nets. \textit{Chr. Hering}, Some Diophantine equations related to geometric problems. \textit{E. Heß}, The use of elliptic curves in cryptography. \textit{J. W. P. Hirschfeld} (Joint work with \textit{L. Storme}, \textit{J. A. Thas}, and \textit{J. F. Voloch}), A characterization of Hermitian curves. \textit{H. Hotje}, Clifford flats. \textit{H. Kaiser}, Self-similar dissections of polygons. \textit{F. Kalhoff}, On Witt rings of projective planes. \textit{H. Karzel}, Archimedeisation. \textit{N. Knarr}, On the construction of generalized quadrangles from polar spaces of rank 3. \textit{H.-J. Kroll}, Subspaces in the chain geometry of an algebra. \textit{Pia Maria Lo Re}, Linear spaces with \(p^ 2+p+1\) mutually intersecting long lines. \textit{R. Löwen}, Topological projective spaces. \textit{H. Mäurer}, Automorphisms of the geometry \(({\mathbb{R}}^ 2,{\mathbb{R}}[x])\) of the real polynomials. \textit{V. C. Mavron}, Arcs in some symmetric designs. \textit{F. Mazzocca} (Joint work with \textit{A. Blokhuis}), Some special point sets in PG(n,q). \textit{Th. Meixner}, Geometric characterization of some sporadic groups. \textit{N. Melone}, On Dowling-Wilson configurations in finite linear spaces. \textit{K. Metsch}, An improvement of Bruck's completion theorem. \textit{W. Nolte}, Coordinatization of Pappian projective Klingenberg planes. \textit{A. Pasini}, Diagrams for Benz planes. \textit{J. Pfalzgraf}, A net theoretic aspect of geometric reasoning. \textit{G. Pickert}, Double planes and loops. \textit{St. E. Schmidt}, A unified approach to projective and affine lattice geometries. \textit{E. Schröder}, Metric geometry. \textit{A. Schroth}, Three-dimensional quadrangles with large automorphism groups. \textit{R.-H. Schulz}, On check character systems. \textit{H. Siemon}, Cyclic Steiner quadruple systems SQS(2p) with \(p=1,5 mod 12\). \textit{G. Tallini}, The geometry of the countable dimensional Galois space PG(N,q). \textit{H. Tecklenburg}, Quasi-ordered affine spaces. \textit{Z. Tuza}, 1. Unsolved problems related to geometry. 2. Equilateral triangles have no incongruent dissection. \textit{J. Ueberberg}, Computer geometry in finite projective spaces. \textit{C. Zanella} (Joint work with \textit{A. Bichara}, \textit{J. Misfeld}, and \textit{G. Tallini}), On the order structure in the line geometry of a projective space.