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Pregled bibliografske jedinice broj: 416128

Symmetric designs with primitive automorphism groups of degree less than 256


Braić, Snježana; Vučičić, Tanja
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, &#955; )-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, &#955; )-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

Profili:

Avatar Url Snježana Braić (autor)

Avatar Url Tanja Vučičić (autor)


Citiraj ovu publikaciju:

Braić, Snježana; Vučičić, Tanja
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)
Braić, S. & Vučičić, T. (2008) Symmetric designs with primitive automorphism groups of degree less than 256. U: 4-th Croatian Congres of Mathematics.
@article{article, author = {Brai\'{c}, Snje\v{z}ana and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2008}, keywords = {Symmetric design, automorphism group, primitive action, difference set}, title = {Symmetric designs with primitive automorphism groups of degree less than 256}, keyword = {Symmetric design, automorphism group, primitive action, difference set}, publisherplace = {Osijek, Hrvatska} }
@article{article, author = {Brai\'{c}, Snje\v{z}ana and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2008}, keywords = {Symmetric design, automorphism group, primitive action, difference set}, title = {Symmetric designs with primitive automorphism groups of degree less than 256}, keyword = {Symmetric design, automorphism group, primitive action, difference set}, publisherplace = {Osijek, Hrvatska} }




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