Pregled bibliografske jedinice broj: 470158
Transitive designs constructed from groups
Transitive designs constructed from groups // ALCOMA 10 - Algebraic Combinatorics and Applications
Thurnau, Njemačka, 2010. (predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 470158 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Transitive designs constructed from groups
Autori
Crnković, Dean ; Mikulić, Vedrana ; Švob, Andrea
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
ALCOMA 10 - Algebraic Combinatorics and Applications
Mjesto i datum
Thurnau, Njemačka, 11.04.2010. - 18.04.2010
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
block design; regular graph; transitive group
Sažetak
Let G be a finite permutation group acting transitively on the sets $\Omega_1$ and $\Omega_2$. We describe a construction of a 1-design determined by the action of G. G acts transitively on the set of points and the set of blocks of a constructed design. We apply this method to construct transitive designs from some finite simple groups. Some of the constructed 1-designs are also 2-designs. One can use this method to construct other combinatorial structures admitting transitive automorphism group, e.g. strongly regular graphs. Further, we discuss a construction of infinite designs from groups.
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
