Pregled bibliografske jedinice broj: 416128
Symmetric designs with primitive automorphism groups of degree less than 256
Symmetric designs with primitive automorphism groups of degree less than 256 // 4-th Croatian Congres of Mathematics
Osijek, Hrvatska, 2008. (poster, nije recenziran, sažetak, znanstveni)
CROSBI ID: 416128 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Symmetric designs with primitive automorphism groups of degree less than 256
Autori
Braić, Snježana ; Vučičić, Tanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
4-th Croatian Congres of Mathematics
Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008
Vrsta sudjelovanja
Poster
Vrsta recenzije
Nije recenziran
Ključne riječi
Symmetric design; automorphism group; primitive action; difference set
Sažetak
We have constructed and classified all primitive (v, k, λ )-symmetric designs with v<256. The starting points were the well-known Kantor's result (1985) on symmetric designs with 2-transitive automorphism groups, and the fact that Paley difference sets yield a series of primitive symmetric designs. Several algorithms for construction have been developed with two different approaches to the problem, depending on whether v is prime or not. It proves that, up to isomorphism, there exist exactly 71 primitive (v, k, λ )-symmetric designs, 2k<v<256. We characterize them in relation to primitive groups action, the full automorphism group included
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-0000000-0882 - Tranzitivne grupe i s njima povezane diskretne strukture (Golemac, Anka, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split