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Pregled bibliografske jedinice broj: 467507

Construction and cllasification of all primitive ( v, k, l) symmetric designs, v<255


Snježana Braić
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:

Avatar Url Snježana Braić (autor)


Citiraj ovu publikaciju:

Snježana Braić
Construction and cllasification of all primitive ( v, k, l) symmetric designs, v
Snježana Braić (2009) Construction and cllasification of all primitive ( v, k, l) symmetric designs, v
@article{article, year = {2009}, keywords = {Symmetric design, primitive automorphism group, difference set}, title = {Construction and cllasification of all primitive ( v, k, l) symmetric designs, v
@article{article, year = {2009}, keywords = {Symmetric design, primitive automorphism group, difference set}, title = {Construction and cllasification of all primitive ( v, k, l) symmetric designs, v




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