Naslov
Finite linear spaces consisting of two symmetric configurations

Autori
Šiftar, Juraj ; Krčadinac, Vedran

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

Izvornik
Treći hrvatski matematički kongres / - Split : Hrvatsko matematičko društvo, 2004, 51-51

Skup
Treći hrvatski matematički kongres

Mjesto i datum
Split, Hrvatska, 16.06.2004. - 18.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
finite linear space; symmetric configuration

Sažetak
TSC(k, l) is defined as a finite linear space i.e. an incidence structure with v points such that any two of them are joined by a unique line, consisting of two symmetric configurations - (v_k) and (v_l), k and l being the "lengths" of lines. E.g. each (9_3) configuration , including the Pappus configuration, may be extended in an obvious manner to a TSC(2, 3). Here we describe a construction method based on projective planes which possibly yields an infinite class of TSC spaces, depending on the number of solutions of a certain open problem from number theory. We also present some other constructions of TSC spaces, including a full classification of TSC(3, 4).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA