Speaker
Dr
Doris Dumičić Danilović
(Department of Mathematics, University of Rijeka)
Description
In this talk we will describe a method for the construction of block designs admitting a solvable automorphism group using tactical decomposition.
The first step is the construction of mutually nonisomorphic orbit matrices for arbitrary block design and its persumed automorphism group, which is the generalization of the algorithm for obtaining orbit matrices for some symmetric design and its automorphism group, given by Vladimir Ćepulić. The second step is the construction of block designs from orbit matrices, which often lasts too long. Therefore, we have developed an algorithm for the refinement of orbit matrices, based on the application of the composition series for a solvable automorphism group which acts on a block design. We have applied the mentioned method for the construction of some new block designs admitting a solvable automorphism group.
Joint work with Dean Crnković and Sanja Rukavina.
Primary author
Dr
Doris Dumičić Danilović
(Department of Mathematics, University of Rijeka)
