Pregled bibliografske jedinice broj: 467507
Construction and cllasification of all primitive ( v, k, l) symmetric designs, v<255
Construction and cllasification of all primitive ( v, k, l) symmetric designs, v
CROSBI ID: 467507 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Construction and cllasification of all primitive ( v, k, l) symmetric designs, v<255
Autori
Snježana Braić
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
MASSEE International Congress on Mathematics MICOM
Mjesto i datum
Ohrid, Sjeverna Makedonija, 16.09.2009. - 20.09.2009
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Symmetric design; primitive automorphism group; difference set
Sažetak
All (v, k, λ) symmetric designs, v≤255, that have primitive automorphism groups are constructed and classified up to isomorphism. The construction algorithms have been developed with two different approaches to the problem. One approach is based on finding a suitable cyclic subgroup of a point stabilizer in the given primitive group. The other approach is based on the results of the theory of multipliers. It proves that, up to isomorphism, there exist exactly 142 primitive (v, k, λ) symmetric designs with v. In problem solving the software package GAP and the GAP library of primitive permutation groups are used.
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
Profili:
Snježana Braić
(autor)