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2009, vol. 13, br. 1, str. 37-41
Some new 2-designs from a wreath product on 18 points
(naslov ne postoji na srpskom)
aUniverzitet u Novom Sadu, Poljoprivredni fakultet
bUniverzitet u Novom Sadu, Tehnološki fakultet

e-adresasnmk@polj.ns.ac.rs
Ključne reči: designs; wreath product; automorphism group
Sažetak
(ne postoji na srpskom)
The total of 22 2-designs on 18 points have been found. All these designs have the same group as an automorphism group. This group can be represented as the wreath product of G and H, where G denotes the subgroup of order 3 of PSL(2,2) and H denotes the subgroup of order 12 of PSL(2,5). The 2-(18,7,42·s) designs for s ε {15, 19, 25, 27, 30, 37, 38, 50} and the 2-(18,8,28·s) designs for s ε {27, 44, 46, 48, 50, 53, 54, 57, 59, 61, 73, 77, 80, 81} have been detected. Up to our knowledge, 16 of these 22 found designs are new. 2000 Mathematics Subject Classification. Primary: 05B05; Secondary: 65D17.
Reference
Acketa, D.M., Mudrinski, V. (1997) Two $5$-designs on 32 points. Discrete Mathematics, 163, 3, 209-210
Acketa, D.M., Mudrinski, V. (1996) A family of $4$-designs on $26$ points. Comment. Math. Univ. Carolinae, 37, 4, 843-860
Acketa, D.M., Mudrinski, V. (1999) A family of $4$-designs on 38 points. Ars Combinatoria, 53, 283-290
Acketa, D.M., Mudrinski, V., Matić-Kekić, S. (2000) A large collection of designs from a wreath product on 21 points. Ars Combinatoria, vol. 54, str. 109-118
Chee, Y.M., Colborn, C.J., Kreher, D.L. (1990) Simple t-designs with v ≤ 30. Ars combinatoria, 29, 193-258
Huppert, B. (1967) Endliche Gruppen, I: Die Grundlehren der matematischen Wissenshaften. Berlin, itd: Springer Verlag, Band 134, xxii+793pp
Kramer, E.S., Mesner, D.M. (1976) t-designs of hypergraphs. Discrete Mathematics, 15, 263-296
 

O članku

jezik rada: engleski
vrsta rada: izvorni naučni članak
DOI: 10.5937/MatMor0901037M
objavljen u SCIndeksu: 23.02.2010.

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