Naslov
PRIMITIVE SYMMETRIC DESIGNS HAVING UP TO 2500 POINTS

Autori
Braić, Snježana ; Golemac, Anka ; Mandić, Joško ; Vučičić, Tanja ;

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Combinatorics 2010, Abstracts of Lectures and Talks / Scientific committee of Combinatorics 2010 - Milano : Organizing committee of Combinatorics 2010, 2010, 232-232

Skup
COMBINATORICS 2010

Mjesto i datum
Verbania, Italija, 27.06.2010. - 03.07.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Symmetric design; primitive automorphism group; difference set

Sažetak
We present the construction of primitive (v , k , lambda) symmetric designs with v < 2500. Up to a few unsolved cases, the total of 116 designs is obtained and their full automorphism groups are analyzed. The method of construction is based on a design automorphism group (primitive) action. In the case of affine type primitive groups and v = p^m, p prime and m > 1, 60 designs are obtained ; non-existence results include the theory of difference sets and multiplier theorems in particular ([1]). The rest of 56 obtained designs have primitive automorphism groups of almost simple or product type. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains. References [1] S. Braić, A. Golemac, J. Mandić and T. Vučičić, Primitive Symmetric Designs with Prime Power Number of Points, Journal of Combinatorial Designs 18 (2010), 141-154.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA