Pregled bibliografske jedinice broj: 424602
Transitive designs constructed from finite groups
Transitive designs constructed from finite groups // International Conference of Mathematical Sciences, Abstract Book / Koymen, Kemal ; Cakalli, Huseyin (ur.).
Istanbul: Maltepe University, Istanbul, 2009. str. 138-138 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 424602 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Transitive designs constructed from finite groups
Autori
Crnković, Dean ; Mikulić, Vedrana ; Švob, Andrea
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
International Conference of Mathematical Sciences, Abstract Book
/ Koymen, Kemal ; Cakalli, Huseyin - Istanbul : Maltepe University, Istanbul, 2009, 138-138
Skup
International Conference of Mathematical Sciences
Mjesto i datum
Istanbul, Turska, 04.08.2009. - 10.08.2009
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
combinatorial design; strongly regular graph
Sažetak
Let 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 admitting transitive automorphism group, e.g. strongly regular graphs. Keywords: Transitive designs, finite group, automorphism group.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
319-0000000-3037 - Blok dizajni, jako regularni grafovi i srodne kombinatoričke strukture (Crnković, Dean, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
