Naslov
Symmetric designs of Menon series admitting an action of Frobenius groups

Autori
Pavčević, Mario-Osvin

Izvornik
Glasnik matematički (0017-095X) 31(51) (1996), 2; 209-223

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

Ključne riječi
symmetric design; Frobenius group; orbit structure; index set

Sažetak
In this article we have constructed many designs of Menon series , e.g. symmetric designs with parameters (4u^2, 2u^2-u, u^2-u), assuming that a Frobenius group of order 2u^2+u or 2u^2-3u+1 acts on it in a certain way. It has been proved that there always exist orbit structures for these cases. For smaller values of u, the complete classification has been made. For u=3, 10 mutually nonisomorphic designs have been constructed. If u=4, there are 10 nonisomorphic designs and if u=5, there are 3 nonisomorphic designs. In the case of u=6, 96 mutually nonisomorphic designs are constructed using this method. The full automorphism groups of these designs have been computed in many cases.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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