Naslov
Some symmetric (47, 23, 11) designs

Autori
Crnković, Dean ; Rukavina, Sanja

Izvornik
Glasnik Matematički (0017-095X) 38(58) (2003), No.1; 1-9

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

Ključne riječi
Symmetric design; Hadamard Design; orbit structure; automorphism group; Mathieu group

Sažetak
Up to isomorphism there are precisely fifty-four symmetric designs with parameters (47, 23, 11) admitting a faithful action of a Frobenius group of order 55. From these fifty-four designs one can construct 179 pairwise nonisomorphic 2-(23, 11, 10) designs as derived and 191 pairwise nonisomorphic 2-(24, 12, 11) designs as residual designs. We have determined full automorphism groups of all constructed designs. One of 2-(24, 12, 11) designs has full automorphism group of order 15840, isomorphic to the group $M_{; ; 11}; ; \times Z_{; ; 2}; ; $, acting transitively on the set of points.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA