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PRIMITIVE SYMMETRIC DESIGNS HAVING UP TO 2500 POINTS (CROSBI ID 582908)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Braić, Snježana ; Golemac, Anka ; Mandić, Joško ; Vučičić, Tanja ; PRIMITIVE SYMMETRIC DESIGNS HAVING UP TO 2500 POINTS // Combinatorics 2010, Abstracts of Lectures and Talks / Scientific committee of Combinatorics 2010 (ur.). Milano: Organizing committee of Combinatorics 2010, 2010. str. 232-232

Podaci o odgovornosti

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

engleski

PRIMITIVE SYMMETRIC DESIGNS HAVING UP TO 2500 POINTS

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.

Symmetric design; primitive automorphism group; difference set

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Podaci o prilogu

232-232.

2010.

objavljeno

Podaci o matičnoj publikaciji

Combinatorics 2010, Abstracts of Lectures and Talks

Scientific committee of Combinatorics 2010

Milano: Organizing committee of Combinatorics 2010

Podaci o skupu

COMBINATORICS 2010

predavanje

27.06.2010-03.07.2010

Verbania, Italija

Povezanost rada

Matematika

Poveznice