Type of research: basic Duration from: 01/01/91. to 12/31/93. Papers on project (total): 23
Institution name: Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb (37)
Summary: We study the non-associative algebraic structures and their
applications in geometry and the structures of special interest for the
completion of existence theory of designs. By methods of tactical
decompositions and of permutational representations of groups and by an
intensive use of computers the possibility of acting of some automorphism
groups on those structures is studied. The convex sets in non-complete
spaces are also studied.
Keywords: groupoid, quasigroup, parallelogram space, heap, algebraic net, design, projective plane, configuration, automorphism, orbit structure, linear space, convex set
Research goals: It was expected to publish 5-8 papers in the theory
ofnon-associative structures, but we published 8 papers
(Polonijo,Volenec). In the area of finite geometries it was promissed
3-5papers, but so for we have published 4 papers (Šiftar). Besideswe have
published 4 papers in the theory of inequalities(Varošanec, Volenec).
Hence, we promissed 8-13 papers and we succeeded to publish 16 papers and
moreover there are some morepapers accepted for publication. Other information about the project.