Crnkovic, DeanMikulic, VedranaSvob, Andrea2024-07-122024-07-122009Crnkovic, D., Mikulic, V. ve Svob, A. (2009). Transitive designs constructed from finite groups. Maltepe Üniversitesi. s. 138.9.78605E+12https://hdl.handle.net/20.500.12415/2252Let G be a finite group. We describe a construction of 1-designs admitting an automorphism group isomorphic to G. The designs are constructed by defining incidence structures on conjugacy classes of subgroups of the group G. The group G acts transitively on the set of points and the set of blocks of the constructed design. Some of the constructed 1-designs are also 2-designs. We apply this method to construct transitive 2-designs from some finite simple groups. One can use this method to construct other combinatorial structures aditting transitive automorphism group, e.g. strongly regular graphs.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessTransitive designs constructed from finite groupsConference Object139138