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Some symmetric (47, 23, 11) designs


Crnković, Dean; Rukavina, Sanja
Some symmetric (47, 23, 11) designs // Glasnik Matematički, 38(58) (2003), No.1; 1-9 (podatak o recenziji nije dostupan, članak, znanstveni)


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


Projekt / tema
0009005

Ustanove
Filozofski fakultet, Rijeka

Profili:

Avatar Url Sanja Rukavina (autor)

Avatar Url Dean Crnković (autor)

Citiraj ovu publikaciju

Crnković, Dean; Rukavina, Sanja
Some symmetric (47, 23, 11) designs // Glasnik Matematički, 38(58) (2003), No.1; 1-9 (podatak o recenziji nije dostupan, članak, znanstveni)
Crnković, D. & Rukavina, S. (2003) Some symmetric (47, 23, 11) designs. Glasnik Matematički, 38(58) (No.1), 1-9.
@article{article, year = {2003}, pages = {1-9}, keywords = {Symmetric design, Hadamard Design, orbit structure, automorphism group, Mathieu group}, journal = {Glasnik Matemati\v{c}ki}, volume = {38(58)}, number = {No.1}, issn = {0017-095X}, title = {Some symmetric (47, 23, 11) designs}, keyword = {Symmetric design, Hadamard Design, orbit structure, automorphism group, Mathieu group} }

Uključenost u ostale bibliografske baze podataka:


  • Mathematical Reviews
  • Zentralblatt MATH