SVIBOR - Project code: 1-01-261

MINISTRY OF SCIENCE AND TECHNOLOGY

Strossmayerov trg 4, HR - 10000 ZAGREB
tel.: +385 1 459 44 44, fax: +385 1 459 44 69
E-mail: ured@znanost.hr

SVIBOR

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Project code: 1-01-261


FINITE STRUCTURES RESEARCH SUPPORTED BY COMPUTERS


Main researcher: ĆEPULIĆ, VLADIMIR (8712)


Assistants
Type of research: basic
Duration from: 01/01/91. to 12/31/94.
Papers on project (total): 40
Papers on project quoted in Current Contents: 3
Institution name: Fakultet elektrotehnike i računarstva, Zagreb (36)
Department/Institute: Department for applied mathematics
Address: Vukovarska 39
City: 10000 - Zagreb, Croatia
Communication
Phone: 385 (0)1 612-99-04
Phone: 385 (0)1 27-42-27
Fax: 385 (0)1 612-99-46
E-mail: vladimir.cepulic@etf.hr
Summary: Symmetric block designs - their existence and construction - are investigated. Such block designs are classified in yet uninvestigated cases. Automorphism groups of block designs are examined, algorithms of block designs construction and corresponding programmes for their execution on computers are developed. The properties of finite sets, especially finite groups, are investigated in connection with problems that appear while block designs are being examined.

Keywords: incidence structure, symmetric block design, isomorphism, automorphism, dual automorphism, permutation group, automorphism group, orbital structure, projective plane, biplane

Research goals: In this research, the accent is on classifications of incidence structures, especially block designs with the assumed automorphism groups that act on them. For this purpose, algorithms and computer programmes for the construction of block designs are developed on the basis of theoretical considerations. Block designs with chosen parameters and given automorphism groups are constructed by execution of the programmes. The properties of finite permutation groups and combinatorial properties of finite sets are also investigated and corresponding algorithms and computer programmes are developed. As a result, about 10 articles are expected to be written during the planned period.

COOPERATION - INSTITUTIONS


  1. Name of institution: Universitaet Mainz/Fachbereich Mathematik
    Type of institution: University/Faculty
    Type of cooperation: Systematic exchange of information
    City: Mainz, SR Njemačka

  2. Name of institution: Universitaet Heidelberg/Mathematisches Institut
    Type of institution: University/Faculty
    Type of cooperation: Systematic exchange of information
    City: Heidelberg, SR Njemačka
Other information about the project.
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Last update: 10/12/95
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