Pregled bibliografske jedinice broj: 186552
Block Designs and a Strongly Regular Graph Constructed from Linear Groups L(2, 49) and L(2, 32)
Block Designs and a Strongly Regular Graph Constructed from Linear Groups L(2, 49) and L(2, 32) // Advances in Algebra towards Millenium Problems, Proceedings of 2004 International Conference on Related Subjects to Clay Problems / Ki-Bong Nam et al. (ur.).
Delhi: SAS International Publications, 2005. str. 197-207 (poster, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Block Designs and a Strongly Regular Graph Constructed from Linear Groups L(2, 49) and L(2, 32)
Autori
Crnković, Dean ; Mikulić, Vedrana ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Advances in Algebra towards Millenium Problems, Proceedings of 2004 International Conference on Related Subjects to Clay Problems
/ Ki-Bong Nam et al. - Delhi : SAS International Publications, 2005, 197-207
Skup
International Conference on Related Subjects to Clay Problems
Mjesto i datum
Jeonju, Republika Koreja, 04.08.2004. - 06.08.2004
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Block design; strongly regular graph; linear group; automorphism group
Sažetak
We show a construction of two isomorphic 2-(50, 8, 4) designs and two isomorphic 2-(50, 20, 152) designs from the linear group L(2, 49). Furthermore, we describe a construction of a strongly regular graph with parameters (528, 62, 31, 4) from the linear group L(2, 32). These incidence structures are defined on the elements of the conjugacy classes of the maximal subgroups. The linear group L(2, 49) acts transitively on the constructed block designs and the group L(2, 32) acts transitively on the constructed strongly regular graph.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
