engleski

Transitive designs constructed from finite groups

The main subject of the talk is construction of transitive designs from finite groups. In the talk I will introduce the construction method of the combinatorial structures, which is based on the construction of transitive 1-designs and regular graphs constructed from finite groups. Comparison with previous methods of the construction of combinatorial structures from primitive groups will show that the introduced method is their generalization. Besides the construction of primitive designs, for which the methods are previously known, the developed method also includes transitive designs. The method will be applied on the construction of 2-designs and strongly regular graphs. The structures will be defined on the conjugacy classes of the maximal and second maximal subgroups under the action of finite groups or their maximal subgroups. Constructed structures and their automorphism groups will be described.

transitive group ; block design ; regular graph

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