Pregled bibliografske jedinice broj: 416126
Some new primitive symmetric designs
Some new primitive symmetric designs // 4-th Croatian Congres of Mathematics
Osijek, Hrvatska, 2008. (predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 416126 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some new primitive symmetric designs
Autori
Braić, Snježana ; Golemac, Anka ; Mandić, Joško ; 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
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Symmetric design; automorphism group; primitive action; difference set
Sažetak
All primitive symmetric designs with at most 255 points have been constructed and classified (S. Braić, PhD thesis, 2007). In this research we either prove the non-existence or give explicit construction of some symmetric designs with primitive automorphism groups of higher degree. The method of design construction is based on an automorphism group action, and on the theory of difference sets, multiplier theorems in particular. It involves programming and wide-range computations. We make use of software package GAP, the well-known system for computational group theory, and the library of primitive groups which it contains.
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