SVIBOR - Project code: 1-01-248

MINISTRY OF SCIENCE AND TECHNOLOGY

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Project code: 1-01-248


ALGEBRAIC STRUCTURES IN GEOMETRY


Main researcher: VOLENEC, VLADIMIR (52946)


Assistants
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)
Communication
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.
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