Naslov
Symmetric block designs of order nine admitting an automorphism of order six

Autori
Rukavina, Sanja ; Crnković, Dean

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

Izvornik
Fourth European Congress of Mathematics / - Stockholm, 2004

Skup
Fourth European Congress of Mathematics

Mjesto i datum
Stockholm, Švedska, 27.06.2004. - 02.07.2004

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
symmetric design; automorphism group

Sažetak
A balanced incomplete block design (BIBD) with parameters (v, k, r, \lambda) (or a 2-(v, k, \lambda) design) is a pair (V, B), where V is a v-set and B is a collection of b-subsets (blocks), such that each element of V is contained in exactly r blocks and any 2-subset of V is contained in exactly \lambda blocks. Elements of the set V are called points. A BIBD with b=v (or equivalently, r=k) is a symmetric (v, k, \lambda) design. The number n=k- \lambda is the order of a symmetric (v, k, \lambda) design. Enumeration of all symmetric designs for some parameters is often a very difficult task because of very large number of possibilities. Therefore, some restrictions are needed. In this work we present the classification of symmetric block designs of order nine admitting an automorphism of order six. The classification was recently completed and some further informations about the constructed designs are provided. Namely, the information about duality of constructed designs and about the structure of the full automorphism groups of these designs are also given. Some interesting groups appear.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA