Naslov
Groups S-n x S-m in construction of flag-transitive block designs

Autori
Braić, Snježana ; Mandić, Joško ; Šubašić, Aljoša ; Vojković, Tanja ; Vučičić, Tanja

Izvornik
Glasnik matematički (0017-095X) 56 (2021), 2; 225-240

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
combinatorial designs ; incidence structures ; automorphism groups

Sažetak
In this paper, we observe the possibility that the group Sn × Sm acts as a flag-transitive automorphism group of a block design with point set {; ; ; 1, . . . , n}; ; ; ×{; ; ; 1, . . . , m}; ; ; , 4 ≤ n ≤ m ≤ 70. We prove the equivalence of that problem to the existence of an appropriately defined smaller flag-transitive incidence structure. By developing and applying several algorithms for the construction of the latter structure, we manage to solve the existence problem for the desired designs with nm points in the given range. In the vast majority of the cases with confirmed existence, we obtain all possible structures up to isomorphism.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA